Consider the series _ n=2 ^ (-1)^n n( n)^p

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

Problem

Consider the series

\sum_{n=2}^{\infty}\frac{(-1)^n}{n(\ln n)^p},

where

p

is a real parameter. For which values of

p

is the series conditionally convergent? (a)

0<p\le 1

(b)

p\le 1

(c)

p>1

(d)

p=1