Question Number 38102 by maxmathsup by imad last updated on 21/Jun/18
$${let}\:{B}_{{n}} =\:\int_{\mathrm{0}} ^{{n}} \:{e}^{−\left({x}−\left[{x}\right]\right)^{\mathrm{2}} } {dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{B}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{B}_{{n}} \\ $$