Putnam 2016 B6
Posted: Mon Dec 05, 2016 12:57 pm
Evaluate the sum
$$\sum_{m=1}^{\infty}\frac{(-1)^{m-1}}{m}\sum_{n=0}^{\infty}\frac{1}{m2^n+1}$$
$$\sum_{m=1}^{\infty}\frac{(-1)^{m-1}}{m}\sum_{n=0}^{\infty}\frac{1}{m2^n+1}$$
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