Comparing Integrals: Test for Convergence/Divergence

[Jbreezy]

Homework Statement

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

Homework Equations

integral [1,∞] (2+e^(-x))/x

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

 

[LCKurtz]

Homework Statement

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

Homework Equations

integral [1,∞] (2+e^(-x))/x

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

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

 

[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.