The series is .

Limit comparison test :

Let for all .

Suppose that and are series with positive terms.

If where is a finite number and then either both series converge or both series

diverge.

Consider and .

Find .

.

Therefore, either both series converges or both diverges.

Consider .

Therefore, series is convergent since it is a series with .

Thus, is also convergent.

is also convergent.