Question Number 7363 by Yozzia last updated on 25/Aug/16
$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left\{\frac{\mathrm{1}}{{ln}\left({n}\right)}\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\frac{{tan}^{−\mathrm{1}} {i}}{{n}+\mathrm{1}−{i}}\right)\right\}=? \\ $$