Question Number 194985 by Erico last updated on 21/Jul/23
![lim_(n→+∞) [((1/n))^n +((2/n))^n +...(((n−1)/n))^n ]=?](Q194985.png)
$$\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}}\left[\left(\frac{\mathrm{1}}{\mathrm{n}}\right)^{\mathrm{n}} +\left(\frac{\mathrm{2}}{\mathrm{n}}\right)^{\mathrm{n}} +...\left(\frac{\mathrm{n}−\mathrm{1}}{\mathrm{n}}\right)^{\mathrm{n}} \right]=? \\ $$