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Question Number 5011 by Yozzii last updated on 01/Apr/16

Commented by Yozzii last updated on 01/Apr/16

S=lim_(n→∞) ((1/(ln(n)))Σ_(i=1) ^n ((tan^(−1) i)/(n−i+1)))  S=?

$${S}=\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{1}}{{ln}\left({n}\right)}\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{{tan}^{−\mathrm{1}} {i}}{{n}−{i}+\mathrm{1}}\right) \\ $$$${S}=?\: \\ $$

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