help-convergence?

Question

Answer 1

(3)

Step 1:

The series is .

Integral test :

Suppose is continuous, positive and decreasing on the interval then

(i) is convergent, then the is also convergent.

(ii) is divergent, then the is also divergent.

The function is continuous, positive and decreasing on the interval .

diverges, hence by integral test also diverges.

The series is divergent.

Solution :

The series is divergent.