nt) Use the ratio test to determine whether lim n2 → 00 lim n→∞ diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n ≥ 2, an+1 an n=2 = lim n→∞0 an+1 an n+9 n! -converges or (b) Evaluate the limit in the previous part. Enter ∞o as infinity and -∞o 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

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