Classify the convergence of the series as absolutely convergent

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

Problem

Classify the convergence of the series

\displaystyle\sum_{n=1}^{\infty}(-1)^{n}\frac{n}{n^{2}+1}

as absolutely convergent, conditionally convergent, or divergent.