Use the box and the behavior of rational and exponential functions as

to predict whether the integrals converge or diverge.

Here is the box:

converges for p > 1 and diverges for p

__<__ 1.

converges for p < 1 and diverges for p

__>__ 1.

converges for a > 0.

Here is the problem I need help with .. along with my work:

I know that this integral is less than

. I also know that

diverges. This does not help me though because I can not use a diverging integral to say that a smaller integral is also diverging. This is where I'm confused.