For the series

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

Problem

For the series ∑n=1∞(−1)n+11n\displaystyle\sum_{n=1}^{\infty}(-1)^{n+1}\frac{1}{n}, state whether it is absolutely convergent, conditionally convergent, or divergent, and give a brief reason (one sentence maximum).

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