Evaluate and indicate what

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

Problem

Evaluate lim⁡n→∞ln⁡nn1/4\displaystyle\lim_{n\to\infty} \frac{\ln n}{n^{1/4}} and indicate what, if anything, this limit reveals about the convergence of the series ∑n=2∞ln⁡nn1/4\displaystyle\sum_{n=2}^{\infty} \frac{\ln n}{n^{1/4}}.

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