Question Number 44176 by abdo.msup.com last updated on 22/Sep/18
![find A_n =∫_0 ^∞ (t^n −[t])e^(−nt) dt and lim_(n→+∞) A_n n integr natural.](Q44176.png)
$${find}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \left({t}^{{n}} −\left[{t}\right]\right){e}^{−{nt}} {dt} \\ $$$${and}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} \\ $$$${n}\:{integr}\:{natural}. \\ $$
Commented by abdo.msup.com last updated on 22/Sep/18
$${n}\geqslant\mathrm{1}. \\ $$