For the series

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

Problem

For the series ∑n=3∞(−1)nn−pln⁡n\displaystyle\sum_{n=3}^{\infty}(-1)^{n}\dfrac{n^{-p}}{\ln n}, find all real pp for which the series converges.

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