Mathematics

Mathematics

Problem

For which values of the real parameter

p

does the series

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

converge? a) It converges for

p\ge 2

. b) It converges for

p>2

. c) It converges for

p>1

. d) It converges for

p>0

.

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