A calculus problem by Shourya Pandey

Calculus Level 4

limn(nn+1e(n+1)nn)=? \large\displaystyle \lim_{n\to\infty} \left(\dfrac {n^{n+1}e}{(n+1)^n} - n\right) = \, ? Clarification: ee denotes Euler's number, e2.71828e \approx 2.71828.

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