Wednesday, September 16, 2015

calculus - Find the infinite sum $sum_{n=1}^{infty}frac{1}{2^n-1}$



How to evaluate this infinite sum?
$$\sum_{n=1}^{\infty}\frac{1}{2^n-1}$$


Answer




I think you wanna see this:



Ramanujan’s Notebooks Part I



Click me and try Entry $14$ (ii) / pag 146 where you set $x=\ln2$



Chris.


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