$\"\"$

The series is $\"\"$ .

Direct comparision test :

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

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

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

Consider $\"\"$ .

The series is compared with $\"\"$ .

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

The series $\"\"$ is in the form of geometric series with $\"\"$ .

$\"\"$ , the series $\"\"$ is convergent by geometric sereis test.

Therefore, $\"\"$ is convergent by direct comparison method.

The series $\"\"$ is converges.

$\"\"$

The series $\"\"$ is converges.