The initial problem is to find whether

from 0 to

converges or diverges. I found that it diverges.

Then the second part of the problem asks:

Which of the following inequalities can be used to help prove your conclusion?

I think it's the first option because the integral I'm comparing to has to be bigger than the original one for it to have any meaning, but should it be

?

Or is that entirely wrong? I have no idea how to determined which inequality it should be.

Thank you for any help, and if you could explain a little of how you determined which one it was, I'd really appreciate it.