Which of the following describes the behavior of ∫1∞1xpdx\int_1^{\infty} \frac{1}{x^p} dx∫1∞xp1dx?
Converges only if p>1p > 1p>1
Converges only if p<1p < 1p<1
Always diverges
Converges for all p>0p > 0p>0