ahh calc question help..it might be on my final. please?

Question

in the integral from 1 to infinite, use the comparison theorem to find out if the function (2+ e^-x) / (x) converges or diverges.

I get confused on finding the right g(x) to compare it to.. is it supposed to be greater like (3)/(x) or smaller such as (2)/(x)?

Answer 1

Perhaps these will be of assistance. Check out the two at the top first:

http://tutorial.math.lamar.edu/AllBrowsers/2414/IntegralTest.asp

http://au.answers.yahoo.com/question/index?qid=20070404143411AAzZh0F

http://archives.math.utk.edu/visual.calculus/6/series.9/

http://archives.math.utk.edu/visual.calculus/6/series.8/index.html