Does the series converge

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

Problem

Does the series ∑n=1∞(−1)n+11n0.8\displaystyle\sum_{n=1}^{\infty}(-1)^{n+1}\frac{1}{n^{0.8}} converge? Give a brief justification.

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