\[ \displaystyle \lim_{n\rightarrow \infty} \left[ \left(\frac{1}{n}\right)^{n}+\left(\frac{2}{n}\right)^{n}+\left(\frac{3}{n}\right)^{n}+\cdots +\left(\frac{n}{n}\right)^{n} \right] \]

Find the closed form of the limit above to 3 decimal places.

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