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=2∞nn2+4\displaystyle \sum_{n=2}^{\infty} \frac{n}{n^{2}+4} converges or diverges. State your conclusion and briefly justify it.

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