The series is .

Here consider  and .

Limit comparison Test:

Suppose that and  are series with positive terms.

If , where is a finite number and , then either both series converges or both series diverges.

Above expression gives the result .

Therefore, apply L hospital rule to find the limit.

Thus, by the limit comparision test both and  are either converges or diverges.

.

It is hormonic series and diverges to infinite.

is also diverges.

is also diverges.