Question

Applying The Comparison Test for Integral Convergence/Divergence, find if int: 1/x+e^x converges or diverges

Answer 1

it is
\[\int \frac{1}{x+e^x}dx\]?

Answer 2

\[\int\limits_{0}^{\infty} (1)/(x+e^x)\]

Answer 3

yes from 0 to infinity

Answer 4

you could compare it to say \[\int \frac{dx}{e^x}\] which converges like crazy

Answer 5

Can i also compare it to 1/x dx which also converges ?

Answer 6

no

Answer 7

since \[\int \frac{dx}{x}\] DIVERGES