For real numbers

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

Problem

For real numbers pp, determine all values of pp for which the series ∑n=1∞npnp+n3\displaystyle \sum_{n=1}^{\infty} \frac{n^{p}}{n^{p}+n^{3}} converges.

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