A calculus problem by Shourya Pandey

Calculus Level 4

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

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