Decide whether the series converges absolutely

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

Problem

Decide whether the series ∑n=1∞(−1) n−13nn2+4\displaystyle\sum_{n=1}^{\infty} (-1)^{\,n-1}\frac{3n}{n^{2}+4} converges absolutely, converges conditionally, or diverges. Provide the correct classification.

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