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let-A-n-0-n-1-1-x-n-n-dt-find-a-rquivalent-of-A-n-




Question Number 32724 by caravan msup abdo. last updated on 31/Mar/18
let A_n = ∫_0 ^n (√(1+(1−(x/n))^n )) dt.  find a rquivalent of A_n .
$${let}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{{n}} \sqrt{\mathrm{1}+\left(\mathrm{1}−\frac{{x}}{{n}}\right)^{{n}} }\:{dt}. \\ $$$${find}\:{a}\:{rquivalent}\:{of}\:{A}_{{n}} . \\ $$

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