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(n2+4)3/2\displaystyle \sum_{n=1}^{\infty} \frac{n}{(n^{2}+4)^{3/2}} converges or diverges. State your conclusion in one sentence.

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