Use any method to determine if the series converges or diverges. Give reasons for your answer. ?_{n=1}^{?} frac{n!}{13^n} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The series converges by the Absolute Convergence Test. B. The series diverges because the limit found using the Ratio Test is ? ? > 1. C. The Comparison Test with ?_{n=1}^{?} frac{1}{13^n} shows that the series converges. D. The series converges because the limit found using the Ratio Test is ? ? < 1. E. The series diverges by the Absolute Convergence Test. F. The Comparison Test with ?_{n=1}^{?} n! shows that the series diverges.
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The Ratio Test states that if the limit of the ratio of consecutive terms is less than 1, then the series converges; if the limit is greater than 1, the series diverges; and if the limit is equal to 1, the test is inconclusive. Show more…
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