A Putnam Problem
Calculus
Level
5
\[\large \sum_{k = 1}^{\infty} \sum_{n = 0}^{\infty} \frac{(-1)^{k - 1}}{k(1 + 2^nk)} \]
Find the value (to 2 decimal places) of the closed form of the expression above.
Source: This is problem B6 of the Putnam 2016 competition.
by
Deeparaj Bhat