Question

Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

Answer 1

Step 1 :

Ratio Test :

(i) If , then the series is is absolutely convergent.

(ii) If or , then the series is is divergent.

(iii) If , then the ratio test is inconclusive.

Step 2 :

The series is .

Consider .

Since , the series is absolutely convergent.

Solution :

The series is absolutely convergent.