Does the series converge absolutely

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

Problem

9. Does the series ∑n=1∞(−1)n1+nn2\sum_{n=1}^{\infty}(-1)^{n} \frac{1+n}{n^{2}} converge absolutely, converge conditionally, or diverge?

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