For which values of does the series _ n=1 ^ (-1)^ n-1 n^ -p converge conditionally?

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

Problem

For which values of

p

does the series

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

converge conditionally? (a)

0<p<1

(b)

p>1

(c)

0<p\le 1

(d)

p\le 0