Use an appropriate test to determine whether the series converges. 8 k! Σ k=1 5 k Select the correct answer below and fill in the answer box to complete your choice. OA. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. OB. The Ratio Test yields r = so the series diverges by the Ratio Test. OC. The limit of the terms of the series is so the series diverges by the Divergence Test. OD. The Ratio Test yields r= 13.591, so the series converges by the Ratio Test. OE. The series is a geometric series with common ratio so the series converges by the properties of a geometric series.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.1: Sequences And Series
Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...
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Use an appropriate test to determine whether the series converges.
8
Σ
k=1
k!
5 k
Select the correct answer below and fill in the answer box to complete your choice.
OA. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series.
OB. The Ratio Test yields r = so the series diverges by the Ratio Test.
OC. The limit of the terms of the series is so the series diverges by the Divergence Test.
OD. The Ratio Test yields r= 13.591, so the series converges by the Ratio Test.
OE. The series is a geometric series with common ratio so the series converges by the properties of a geometric series.
Transcribed Image Text:Use an appropriate test to determine whether the series converges. 8 Σ k=1 k! 5 k Select the correct answer below and fill in the answer box to complete your choice. OA. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. OB. The Ratio Test yields r = so the series diverges by the Ratio Test. OC. The limit of the terms of the series is so the series diverges by the Divergence Test. OD. The Ratio Test yields r= 13.591, so the series converges by the Ratio Test. OE. The series is a geometric series with common ratio so the series converges by the properties of a geometric series.
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