Decide whether the series converges or diverges

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

Problem

Decide whether the series ∑n=1∞n!(n+2)!\displaystyle \sum_{n=1}^{\infty} \frac{n!}{(n+2)!} converges or diverges. Provide your conclusion and the pp-value of the comparable pp-series.

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