Determine whether the series converges or diverges

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

Problem

Determine whether the series ∑n=1∞n+2−nn\displaystyle \sum_{n=1}^{\infty} \frac{\sqrt{n+2}-\sqrt{n}}{n} converges or diverges. State your conclusion and the pp-value of the dominating pp-series.

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