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Question Number 38102 by maxmathsup by imad last updated on 21/Jun/18

let B_n = ∫_0 ^n  e^(−(x−[x])^2 ) dx  1) calculate B_n   2) find lim_(n→+∞)  B_n

$${let}\:{B}_{{n}} =\:\int_{\mathrm{0}} ^{{n}} \:{e}^{−\left({x}−\left[{x}\right]\right)^{\mathrm{2}} } {dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{B}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{B}_{{n}} \\ $$

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