$\"\"$

Direct comparison test :

Let $\"\"$ for all $\"\"$ .

1.If $\"\"$ convergence, then $\"\"$ convergence.

2.If $\"\"$ diverges, then $\"\"$ diverges.

$\"\"$

The series is $\"\"$ .

Here $\"\"$ and $\"\"$ .

Observe that $\"\"$ for all $\"\"$ on $\"\"$ .

The series $\"\"$ is diverges.

Using direct comparision test if the series $\"\"$ is diverges then $\"\"$ is diverges.

Therefore, the series $\"\"$ is diverges.

$\"\"$

The series $\"\"$ is converges.