I don't seem to be able to do these very well.

Use the Comparison Theorem to determine whether the integral is convergent or divergent:

I see two functions that might be of assistance:

so

But that won't help because

is divergent, so it says nothing about a function that is less than it.

Then, I looked at the fact that on [0,1]

so then

. But

is a proper integral, so it says nothing about an integral that is bigger than it.

AAAAAGH. I can't seem to get any of these figure out. What am I doing wrong?