For which values of does the integral converge?

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

Problem

For which values of

q

does the integral

\displaystyle \int_{2}^{\infty} \frac{\ln x}{x^{q}}\,dx

converge? (a)

q>1

(b)

q\ge 1

(c)

q>0

(d)

q>2