Question Number 94658 by msup by abdo last updated on 20/May/20
$${find}\:{lim}_{{n}\rightarrow+\infty} \:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\left(\mathrm{1}−\frac{{t}}{{n}}\right)^{{n}} \:{arctan}\left(\mathrm{1}+{nt}\right){dt} \\ $$
find-lim-n-0-1-1-t-n-n-arctan-1-nt-dt-