Determine whether the series is

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

Problem

Determine whether the series ∑n=1∞(−1)nn3\displaystyle \sum_{n=1}^{\infty}\frac{(-1)^n}{n^{3}} is (i) absolutely convergent, (ii) conditionally convergent, or (iii) divergent. State your conclusion.

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