1. The problem statement, all variables and given/known data I attached the problem to this post. 3. The attempt at a solution I was wondering if I could use the limit comparison test for this integral. My professor taught us this test that can be used for series but could it work for improper integrals as well? So what I would do is an = 1/(2ex-x) and bn = 1/2ex. Then take the limit approaching infinity of an/bn which yields 1. Since bn converges so does an. Does that make sense?