Choosing A Correct Improper integral For the Comparison Test (ex1)

Can we use the comparison test with the improper integral of 1/x from 1 to inf or the improper integral of 1/e^x from 1 to inf to show if the improper integral of 1/(x+e^x) from 1 to infinity converges or not? Which improper integral could we use to compare with this? This is a calculus 2 tutorial for the improper integral section. We use the comparison test for the improper integral whenever we cannot integrate the function. #justcalculus
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