Determine whether the series meets the prerequisites for analysis via an improper integral

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

Problem

Determine whether the series ∑n=3∞n(n2−1) ln⁡n\displaystyle \sum_{n=3}^{\infty} \dfrac{n}{(n^{2}-1)\,\ln n} meets the prerequisites for analysis via an improper integral. Provide a concise justification.

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