Index stringlengths 1 5 | Challenge stringlengths 41 1.59k | Answer in Latex stringclasses 198
values | Answer in Sympy stringlengths 1 783 | Variation stringclasses 33
values | Source stringclasses 100
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|---|---|---|---|---|---|---|
301 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \sinh^{2}{\left(B x \right)} + \cosh^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
302 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\sinh{\left(\log{\left(B x + \sqrt{B^{2} x^{2} + 1} \right)} \right)}}{B x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
303 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \sinh^{2}{\left(B x \right)} + \cosh^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
304 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\sinh{\left(\log{\left(B x + \sqrt{B^{2} x^{2} + 1} \right)} \right)}}{B x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
305 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \sinh^{2}{\left(G x \r... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
306 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
307 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \sinh^{2}{\left(G x \r... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
308 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
309 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\frac{G \sum_{N=1}^{\inf... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
310 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
311 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\frac{G \sum_{N=1}^{\inf... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
312 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
313 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \frac{i \left(e^{i G x... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
314 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
315 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \frac{i \left(e^{i G x... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
316 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
317 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \sinh^{2}{... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
318 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left(... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
319 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \sinh^{2}{... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
320 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left(... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
321 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\frac{\ln(x)... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
322 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left(... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
323 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\frac{\ln(x)... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
324 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left(... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
325 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \frac{i \l... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
326 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left(... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
327 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \frac{i \l... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
328 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(A - 1\right) \right)}}{\left(- \tan{\left(... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
329 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
330 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
331 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
332 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
333 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
334 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
335 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
336 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
337 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
338 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
339 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(\sin^{2}{\left(- A x \right)} + \cos^{2}{\left(A x \right)}\right) \cdot x)... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
340 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\tan... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
341 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\f... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
342 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
343 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\f... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
344 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
345 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\f... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
346 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
347 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\f... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
348 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
349 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
350 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
351 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
352 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
353 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\sin^{2}{\left(- G x \... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
354 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) ... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
355 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\sin^{2}{\left(- G x \... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
356 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) ... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
357 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\frac{G \sum_{N=1}^{\i... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
358 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) ... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
359 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\frac{G \sum_{N=1}^{\i... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
360 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) ... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
361 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \frac{i \left(e^{i G... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
362 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) ... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
363 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\ln(x) \cdot \log_{x}(B)}{\ln(B)}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \frac{i \left(e^{i G... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
364 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\log_B\left(\frac{x}{e}\right) + \log_B(e)}{\log_B(x)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) ... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
365 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\sin^{2}{\... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
366 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) \... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
367 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\sin^{2}{\... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
368 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) \... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
369 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\frac{\ln(... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
370 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) \... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
371 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(\frac{\ln(... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
372 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) \... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
373 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \frac{i ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
374 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) \... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
375 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{2^{- N} x}{B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot x)^n}{ \left(- \frac{i ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
376 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{B \sum_{N=1}^{\infty} \frac{6 x}{\pi^{2} N^{2} B}}{x}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sinh{\left(\log{\left(A x + \sqrt{A^{2} x^{2} + 1} \right)} \right)}}{A x}\right) \... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
377 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
378 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sin... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
379 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
380 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sin... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
381 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
382 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sin... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
383 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
384 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sin... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
385 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
386 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sin... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
387 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{i \left(e^{i B x} - e^{- i B x}\right)}{2 \sin{\left(B x \right)}}\right) \cdot (2 \cdot n)! \cdot ( \left(- \sinh^{2}{\left(A x \right)} + \cosh^{2}{\left(A x \right)}\right) \cdot ... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
388 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(- \frac{2 i \left(e^{4 i B x} + 1\right) \tan{\left(B x \right)}}{\left(1 - e^{4 i B x}\right) \left(1 - \tan^{2}{\left(B x \right)}\right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\sin... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
389 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\ln(x) \cdot \log_{x}(A)}{\ln(A)}\right) \cdot x)^n}{ \left(- \sinh^{2}{\left(G x \r... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
390 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
391 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\ln(x) \cdot \log_{x}(A)}{\ln(A)}\right) \cdot x)^n}{ \left(- \sinh^{2}{\left(G x \r... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
392 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
393 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\ln(x) \cdot \log_{x}(A)}{\ln(A)}\right) \cdot x)^n}{ \left(\frac{G \sum_{N=1}^{\inf... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
394 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
395 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\ln(x) \cdot \log_{x}(A)}{\ln(A)}\right) \cdot x)^n}{ \left(\frac{G \sum_{N=1}^{\inf... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
396 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
397 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\ln(x) \cdot \log_{x}(A)}{\ln(A)}\right) \cdot x)^n}{ \left(- \frac{i \left(e^{i G x... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
398 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
399 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\sin^{2}{\left(- B x \right)} + \cos^{2}{\left(B x \right)}\right) \cdot (2 \cdot n)! \cdot ( \left(\frac{\ln(x) \cdot \log_{x}(A)}{\ln(A)}\right) \cdot x)^n}{ \left(- \frac{i \left(e^{i G x... | exp(2)/4 | Equivalence-All-Easy | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series | |
400 | Find the radius of convergence of the following series. Assume A,B,G,H are real and positive.
$ \sum_{n=1}^\infty \frac{ \left(\frac{\tan{\left(x \right)} + \tan{\left(x \left(B - 1\right) \right)}}{\left(- \tan{\left(x \right)} \tan{\left(x \left(B - 1\right) \right)} + 1\right) \tan{\left(B x \right)}}\right) \cdot... | exp(2)/4 | Equivalence-All-Hard | U-Math
sequences_series
ca5ffe7c-f495-43dc-a653-de477cabc185 | Series |
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