For what real values of does the series converge

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

Problem

For what real values of

p

does the series

\displaystyle \sum_{n=2}^{\infty} \frac{n^{2}+1}{n^{p}+n}

converge? State the interval of all such

p