For which values of does the series converge absolutely?

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

For which values of

p

does the series

\displaystyle \sum_{n=2}^{\infty} \dfrac{(-1)^{n-1}}{n^{p}}

converge absolutely? (a)

p\ge 1

(b)

p>0

(c)

p>1

(d)

0<p\le 1