Converging Sum!

Calculus Level 3

Sn=n+12n+1i=1n2iiS_{n}= \frac{n+1}{2^{n+1}}\sum_{i=1}^{n}\frac{2^{i}}{i}

Consider the sequence, find limnSn \displaystyle \lim_{n\rightarrow \infty }S_{n} .

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