I recently came across a problem where I was able to show that [tex]\sum_{n=1}^{\infty} \frac{(-1)^n}{n} \tanh \left( \frac{n \pi}{2} \right)=\frac{\ln 2- \pi}{4}[/tex] through numerical approximation....However, I don't have much practice evaluating such summations analytically, and I was wondering if anyone had any ideas on how to evaluate this one analytically?(adsbygoogle = window.adsbygoogle || []).push({});

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# Explicitly summing a series involving hyperbolic tangent

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