$\"\"$

The series is $\"\"$ .

The series $\"\"$ is convergent.

Consider the series $\"\"$ .

Comparison Test:

Suppose that $\"\"$ and $\"\"$ are series with positive terms.

(i) If $\"\"$ is convergent and $\"\"$ for all $\"\"$ , then $\"\"$ is also convergent.

(ii) If $\"\"$ is divergent and $\"\"$ for all $\"\"$ , then $\"\"$ is also divergent.

$\"\"$ .

The series $\"\"$ is convergent.

Therefore, by comparision test $\"\"$ also convergent.

$\"\"$

$\"\"$ is convergent.