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Determine whether the following series converges. Justify your answer. k (-15) 2 k! k =1 Select the correct choice below and fill in the answer

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Determine whether the following series converges. Justify your answer. k (-15) 2 k! k =1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. O B. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. O C. The limit of the terms of the series is so the series diverges by the Divergence Test. O D. The Ratio Test yields r = so the series diverges by the Ratio Test. O E. The Ratio Test yields r = so the series converges by the Ratio Test. OF. The Root Test yields p = so the series diverges by the Root Test

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