Determine whether the following series converges. Justify your answer 9(4k)! Σ k=1 (kl)* 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 qeometric series with common ratio less than 1, so the series converges by the properties of a geometric series. This O B. The Ratio Test yields r This is less than 1, so the series converges by the Ratio Test. O C. The series is a geometric series with common ratio This greater than 1, so the series diverges by the properties of a geometric series. O D. The Ratio Test vields r=.This is greater than 1,so the series diverges by the Ratio Test O E. The limit of the terms of the series is so the series converges by the Divergence Test. 8

Question
Determine whether the following series converges. Justify your answer
9(4k)!
Σ
k=1 (kl)*
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 qeometric series with common ratio
less than 1, so the series converges by the properties of a geometric series.
This
O B. The Ratio Test yields r
This is less than 1, so the series converges by the Ratio Test.
O C. The series is a geometric series with common ratio
This
greater than 1, so the series diverges by the properties of a geometric series.
O D. The Ratio Test vields r=.This is greater than 1,so the series diverges by the Ratio Test
O E. The limit of the terms of the series is
so the series converges by the Divergence Test.
8

Image Transcription

Determine whether the following series converges. Justify your answer 9(4k)! Σ k=1 (kl)* 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 qeometric series with common ratio less than 1, so the series converges by the properties of a geometric series. This O B. The Ratio Test yields r This is less than 1, so the series converges by the Ratio Test. O C. The series is a geometric series with common ratio This greater than 1, so the series diverges by the properties of a geometric series. O D. The Ratio Test vields r=.This is greater than 1,so the series diverges by the Ratio Test O E. The limit of the terms of the series is so the series converges by the Divergence Test. 8

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