Consider the series

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

Problem

Consider the series ∑n=2∞1n(ln⁡n)2\displaystyle\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^{2}}. Identify a standard convergence test that is most suitable for establishing its behavior, and give a one-sentence justification for why that test applies.

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