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find-lim-n-0-n-cos-x-n-n-2-dx-




Question Number 32729 by caravan msup abdo. last updated on 31/Mar/18
find lim_(nā†’āˆž)  āˆ«_0 ^n (cos((x/n)))^n^2   dx.
$${find}\:{lim}_{{n}\rightarrow\infty} \:\int_{\mathrm{0}} ^{{n}} \left({cos}\left(\frac{{x}}{{n}}\right)\right)^{{n}^{\mathrm{2}} } \:{dx}. \\ $$

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