$\"\"$

The infinite series is $\"\"$ .

Consider $\"\"$ and $\"\"$ .

Limit comparision test :

If $\"\"$ and $\"\"$ divergence, then the series divergence.

If $\"\"$ and $\"\"$ convergence, then the series convergence.

Consider $\"\"$ .

Find $\"\"$ .

$\"\"$

$\"\"$ .

The series $\"\"$ is divergent.

According to the limit comparision test $\"\"$ diverges because $\"\"$ diverges. $\"\"$

$\"\"$ is divergent.