Integral test:

Suppose  is a continuous, positive, decreasing function on and let .

Then the series is convergent if and only if the improper integral is convergent.

(i) If is convergent, then is convergent.

(ii) If is divergent, then is divergent.

The series is .

Using integral test:

Consider the integral .

The function is positive and decreasing for .

.

The integral is diverges.

Therefore, the series is diverges.

The series is diverges.