The series is .

Direct comparision test :

Let for all .

1. If converges, then converges.

2. If diverges, then diverges.

Consider and .

.

Compare the series with .

Consider the series .

The series is in the form of -series.

The -series is convergent if and only if .

Compare the series with -series.

Here .

The series is converges.

Therefore, the series is converges.

The series is converges.