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Question Number 91639 by mathmax by abdo last updated on 02/May/20

find lim_(n→∞)  (1+(1/n))^2  ((n!)/n^(n+(1/2)) )

$${find}\:{lim}_{{n}\rightarrow\infty} \:\left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)^{\mathrm{2}} \:\frac{{n}!}{{n}^{{n}+\frac{\mathrm{1}}{\mathrm{2}}} } \\ $$

Commented by mathmax by abdo last updated on 02/May/20

sorry the Q is find lim_(n→∞)   (1+(1/n))^n^2  ×((n!)/n^(n+(1/2)) )

$${sorry}\:{the}\:{Q}\:{is}\:{find}\:{lim}_{{n}\rightarrow\infty} \:\:\left(\mathrm{1}+\frac{\mathrm{1}}{{n}}\right)^{{n}^{\mathrm{2}} } ×\frac{{n}!}{{n}^{{n}+\frac{\mathrm{1}}{\mathrm{2}}} } \\ $$

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