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calculate-lim-n-0-n-1-x-n-n-arctan-nx-dx-




Question Number 82973 by mathmax by abdo last updated on 26/Feb/20
calculate lim_(n→+∞)    ∫_0 ^n (1−(x/n))^n arctan(nx)dx
$${calculate}\:{lim}_{{n}\rightarrow+\infty} \:\:\:\int_{\mathrm{0}} ^{{n}} \left(\mathrm{1}−\frac{{x}}{{n}}\right)^{{n}} {arctan}\left({nx}\right){dx} \\ $$

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