Consider the series

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

Problem

Consider the series ∑n=2∞(−1)n+11n1/2(1+ln⁡n)\displaystyle\sum_{n=2}^{\infty}(-1)^{n+1}\frac{1}{n^{1/2}(1+\ln n)}. Indicate whether the series is absolutely convergent, conditionally convergent, or divergent.

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