n(-5)n n! n 25 (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For n > 25. Use the ratio test to determine whether an+1 lim 11 00 an lim 11-00 = lim 1 00 (b) Evaluate the limit in the previous part. Enter ∞ as infinity and -∞ as -infinity. If the limit does not exist, enter DNE. an+1 an = converges or diverges. (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Choose Note: You can earn 40% partial credit for 2 - 3 correct answers.

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