Which of the following describes the convergence of ∫1∞1xpdx\int_{1}^{\infty} \frac{1}{x^p} dx∫1∞xp1dx?
Converges for all p>0p > 0p>0
Converges only if p≤1p \leq 1p≤1
Converges for p>1p > 1p>1 and diverges for p≤1p \leq 1p≤1
Diverges for all ppp