Determine whether the following series converges. Justify your answer. 2(4k)! k =1 (k!)4 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 This is less than 1, so the series converges by the properties of a geometric series. O B. The limit of the terms of the series is so the series converges by the Divergence Test. O C. The Ratio Test yields r= . This is less than 1, so the series converges by the Ratio Test. O D. The series is a geometric series with common ratio This is greater than 1, so the series diverges by the properties of a geometric series. O E. The Ratio Test yields r = This is greater than 1, so the series diverges by the Ratio Test