Determine whether the following series converges. Justify your answer.(- 6)kΣk!k = 1Select 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 ratioso the series converges by the properties of a geometric series.B. The Ratio Test yields r =so the series diverges by the Ratio Test.OC. The series is a geometric series with common ratioso the series diverges by the properties of a geometric series.D. The Ratio Test yields r=so the series converges by the Ratio Test.O E. The limit of the terms of the series isso the series diverges by the Divergence Test.O F. The Root Test yields%=so the series diverges by the Root Test.

Determine whether the following series converges. Justify your answer. (-6)k 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. OB. The Ratio Test yields r=, so the series diverges by the Ratio Test. C. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. O D. The Ratio Test yields r= so the series converges by the Ratio Test. O E. The limit of the terms of the series is so the series diverges by the Divergence Test. O F. The Root Test yieldsp= so the series diverges by the Root Test.