The value of is equal to

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The value of lim⁡n→∞(n!nn)2n4+15n5+1\lim_{n\to\infty}\left(\frac{n!}{n^n}\right)^{\frac{2n^4+1}{5n^5+1}} is equal to (1) ee (2) 2e\frac{2}{e} (3) (1e)2\left(\frac{1}{e}\right)^2 (4) None of these

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