Determine whether the series is absolutely convergent

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

Problem

Determine whether the series ∑n=1∞(−1)n4n2/3\displaystyle\sum_{n=1}^{\infty} (-1)^{n}\frac{4}{n^{2/3}} is absolutely convergent, conditionally convergent, or divergent. State your conclusion.

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