For which values of does the improper integral converge to a finite value?

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

For which values of

p

does the improper integral

\displaystyle \int_{1}^{\infty} \frac{1}{x^{p}}\,dx

converge to a finite value? (a)

p\ge 1

(b)

p>1

(c)

p<1

(d)

p>0