Determine, with justification, whether the series converges or…

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

Problem

Determine, with justification, whether the series ∑n=1∞n1/2n3/2+1\displaystyle \sum_{n=1}^{\infty} \frac{n^{1/2}}{n^{3/2}+1} converges or diverges.

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