A Summation of a Function Series

Asked Nov 05 '19 at 05:59

Active Nov 05 '19 at 06:04

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I want to get the summation as follow: $\sum\limits^{\infty}_{n=1}{(-1)^n \frac{2x}{x^2-n^2\pi^2}}$.

I serach it in Wolfram Alpha and get the anwser is $-\frac1x+\csc(x)$,but I don't have a step-by-step solution. So I ask you for help.Thanks for all the help I get.

edited Nov 05 '19 at 06:04

Rushabh Mehta

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asked Nov 05 '19 at 05:59

Strike

I think that the derivation which you are looking for is shown in one of the answers to this question. – Axion004 Nov 05 '19 at 06:45
Thank you very much! – Strike Nov 13 '19 at 02:03

A Summation of a Function Series

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