Mastering Comparison Tests for Infinite Series

[ttiger2k7]

Not really a specific question, but I am really struggling with the comparison tests for infinite series. I just finished doing quite a few problems from the section. I went in pretty confident, but after completing the section I was bummed that I only did a less than a handful correctly. My main problem is that I have NO IDEA what to compare the series to. Is there a trick involved that helps you figure it out? And is there more than one correct comparison to each series?

 

[Gib Z]

It's an analogue case to the substitution method with integrals. You just have to do a lot of them, familiarize your self with the most common choices, and again, do a lot of them. Experience counts!