Determine all real numbers for which the series converges.

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

Problem

Determine all real numbers pp for which the series ∑n=2∞(ln⁡n)2np\displaystyle \sum_{n=2}^{\infty} \frac{(\ln n)^2}{n^{p}} converges.

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