The series is .

Consider .

-Series test :

If the series where .

If then the series converges.

If  then the series diverges.

Compare the series with general form.

Here .

.

From the series test, then the series converges.

Therefore, the series is converges by series test.

Direct comparision test :

Let for all .

1. If converges, then converges.

2. If diverges, then diverges.

Here and .

Hence .

Using direct comparision test converges then converges absolutely.

Therefore, the series is converges absolutely.

The series is converges absolutely.