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n7 Use the ratio test to determine whether converges or diverges. (72 + 2)! (a) Find the ratio of successive terms. Write your answer as

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n7 Use the ratio test to determine whether converges or diverges. (72 + 2)! (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 9, 7 (n + 1) lim an+1 lim n-+00 an 7-+00 (n+ 1 ) (n + 2) (b) Evaluate the limit in the previous part. Enter co as infinity and -oo as -infinity. If the limit does not exist, enter DNE. lim an+1 n-+00 an (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges v

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