1)

Step 1:

The series is .

The Ratio Test:

Let  be a series with nonzero terms. \ \ 1) converges absolutely if .

2) diverges if and .

3) The Ratio Test is inconclusive if .

Step 2:

This series is converges because the limit of is less than .

Solution:

The series is convergent.

Step 1:

Solution:

The series is divergent.