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Question Number 82288 by mathmax by abdo last updated on 19/Feb/20
calculate lim_(nā†’+āˆž) (1+(1/n))^n^2  ((n!)/n^(n+(1/2)) )
$${calculate}\:{lim}_{{n}\rightarrow+\infty} \left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)^{{n}^{\mathrm{2}} } \frac{{n}!}{{n}^{{n}+\frac{\mathrm{1}}{\mathrm{2}}} } \\ $$

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