Determine whether the series converges or diverges

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

Problem

Determine whether the series ∑n=1∞n!3 n\displaystyle\sum_{n=1}^{\infty}\frac{n!}{3^{\,n}} converges or diverges. State your conclusion.

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