Does the series converge absolutely

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

Problem

Does the series ∑n=1∞(−1)nnn2+3\displaystyle \sum_{n=1}^{\infty}(-1)^{n}\frac{n}{n^{2}+3} converge absolutely, converge conditionally, or diverge? State your conclusion and justify it briefly.

Related theory

Browse the problem library