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Find-lim-n-n-1-1-n-n-e-1-n-e-e-2-




Question Number 160007 by HongKing last updated on 23/Nov/21
Find:  lim_(nā†’āˆž) (n(((1 + (1/n))^n - e - 1)^n - e^(- (e/2)) ))
$$\mathrm{Find}: \\ $$$$\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\left(\mathrm{n}\left(\left(\left(\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{n}}\right)^{\boldsymbol{\mathrm{n}}} -\:\mathrm{e}\:-\:\mathrm{1}\right)^{\boldsymbol{\mathrm{n}}} -\:\mathrm{e}^{-\:\frac{\mathrm{e}}{\mathrm{2}}} \right)\right) \\ $$$$ \\ $$

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