Determine whether the following series converges. Justify your answer. (-13)* k! 00 Σ k=1 Select the correct choice belo

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Determine whether the following series converges. Justify your answer. (-13)* k! 00 Σ k=1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. OB. The Ratio Test yields r = so the series diverges by the Ratio Test. The Root Test yields p= so the series diverges by the Root Test. O D. The limit of the terms of the series is, so the series diverges by the Divergence Test. O E. The Ratio Test yields r = so the series converges by the Ratio Test. O F. The series is a geometric series with common ratio O C. so the series diverges by the properties of a geometric series.