Which of the following describes the behavior of ∫1b1xpdx\int_1^b \frac{1}{x^p} dx∫1bxp1dx as b→∞b \to \inftyb→∞?
Converges for p>1p > 1p>1
Converges for p<1p < 1p<1
Diverges for p>1p > 1p>1
Always converges