Which of the following describes the behavior of ∫1∞1xp+xqdx\int_1^{\infty} \frac{1}{x^p + x^q} dx∫1∞xp+xq1dx as p,q→∞p, q \to \inftyp,q→∞?
It converges for all p,q>1p, q > 1p,q>1.
It diverges for p,q<1p, q < 1p,q<1.
It is always equal to 1.
It only converges if p+q>2p+q > 2p+q>2.