For which values of does the series converge?

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}\frac{1}{n(\ln n)^{p}}

converge? (a)

p>\dfrac{1}{2}

(b)

p>0

(c)

p>1

(d)

p\ge 1