Compairson test.

1. Oct 8, 2013

Jbreezy

1. The problem statement, all variables and given/known data

Use comparison test to see if the integral is convergent or divergent.

2. Relevant equations

integral [1,∞] (2+e^(-x))/x

3. The attempt at a solution

My books says that (1+e^(-x))/x is divergent and since my integral is bigger it is divergent also.
TRUE OR FALSE? Thanks for the help

2. Oct 8, 2013

LCKurtz

Compare your integral with $\int_1^\infty \frac 2 x~dx$.

3. Oct 8, 2013

Jbreezy

Your integral also Diverges. So it diverges I like yours better though.
I have another one I will post in another forum. In a bit. Thanks.