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CalculusSuperchallengeInfinite Sequences and Series

Infinite Sequences and Series · Superchallenge problem

Let Hn=1+12+13+⋯+1nH_n=1+\dfrac12+\dfrac13+\cdots+\dfrac1n. Find the exact value of ∑n=1∞Hn2n\displaystyle\sum_{n=1}^{\infty}\frac{H_n}{2^n}.