Use the ratio test to determine whether ∑n=20[infinity]9n(2n)2 converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n≥20,(b) Evaluate the limit in the previous part. Enter \infty as infinity and -\infty 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? Choose Converges Diverges Inconclusive