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Question Number 154037 by qaz last updated on 13/Sep/21
Prove::   Σ_(n=−∞) ^(+∞) arctan (((sinh x)/(cosh n)))=πx
$$\mathrm{Prove}::\:\:\:\underset{\mathrm{n}=−\infty} {\overset{+\infty} {\sum}}\mathrm{arctan}\:\left(\frac{\mathrm{sinh}\:\mathrm{x}}{\mathrm{cosh}\:\mathrm{n}}\right)=\pi\mathrm{x} \\ $$

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