Use the ratio test to determine whether converges or diverges.

(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For ,

(b) Evaluate the limit in the previous part. Enter as infinity and as -infinity. If the limit does not exist, enter DNE.

(c) By the ratio test, does the series converge, diverge, or is the test inconclusive?

You can earn 40% partial credit for 2 - 3 correct answers.