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?