Determine whether the series converges absolutely

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Determine whether the series ∑n=1∞n!nn\displaystyle \sum_{n=1}^{\infty}\frac{n!}{n^{n}} converges absolutely, converges conditionally, or diverges. Provide your classification.

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