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lim-n-1-n-n-2-n-n-n-1-n-n-




Question Number 194985 by Erico last updated on 21/Jul/23
lim_(nā†’+āˆž) [((1/n))^n +((2/n))^n +...(((nāˆ’1)/n))^n ]=?
$$\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}}\left[\left(\frac{\mathrm{1}}{\mathrm{n}}\right)^{\mathrm{n}} +\left(\frac{\mathrm{2}}{\mathrm{n}}\right)^{\mathrm{n}} +…\left(\frac{\mathrm{n}āˆ’\mathrm{1}}{\mathrm{n}}\right)^{\mathrm{n}} \right]=? \\ $$

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