The series is .

Integral test:

If is convergent then is convergent.

Here .

Find .

Find the integral by using by parts of integration.

Formula for integration by parts :.

.

Differentiate on each side.

.

Apply integral on each side.

.

Substitute corresponding values in the integral by parts formula.

Apply L-hospital rule for .

= a finite value.

Therefore, is convergent.

Thus by the integral test series is also convergent.

Series is convergent.