The series is .

Consider the series .

The series is in the form of -series.

-Series test :

If the series where .

If then the series converges.

If  then the series diverges.

Consider .

Comapare the series with general series.

Here .

Therefore, the series is diverges since .

Alternate series test :

Let ,The alternate series test and converge if it satisfies

the following conditions.

(1). ,

(2). for all values of  .

Here .

.

and .

Hence .

Since the series is converges by alternating series test.

Therefore, the series is converges conditionally.

The series is converges conditionally.