hello, how do you solve for the limits of the following integrals:(adsbygoogle = window.adsbygoogle || []).push({});

lim as n -> infinity of the integral from 0 to n of [ (1 - x/n)^n times exp(x/2)]

and

lim as n -> infinity of the integral from 0 to n of [ (1 + x/n)^n times exp(-2x)]

Can you solve these using either the monotone convergence theorem or the lebesgue dominated convergence theorem?

and doesn't (1 - x/n)^n and (1 + x/n)^n approach 1 as n approaches infinty? so does that mean I just have to solve the integral of the exponential for both cases from 0 to infinity, which would mean it equals infinity?

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# Homework Help: Limit of an integral

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