let-give-A-n-0-1-dt-1-t-n-1-find-l-lim-n-A-n-2-give-a-equivalent-of-A-n-l-3-find-a-equivalent-of-A-n-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 32735 by caravan msup abdo. last updated on 01/Apr/18

let give A_n =∫_0 ^1 (dt/(1+t^n )) 1) find l=lim_(n→∞) A_n 2)give a equivalent of A_n −l 3) find a equivalent of A_n

$${let}\:{give}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{dt}}{\mathrm{1}+{t}^{{n}} } \\ $$$$\left.\mathrm{1}\right)\:{find}\:{l}={lim}_{{n}\rightarrow\infty} \:{A}_{{n}} \\ $$$$\left.\mathrm{2}\right){give}\:{a}\:{equivalent}\:{of}\:{A}_{{n}} −{l} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{a}\:{equivalent}\:{of}\:{A}_{{n}} \\ $$

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