Use a convergence test of your choice to determine whether the following series converges or diverges. 4 2k +3 00 Σ 8 k=11√3k +1 Select the correct choice below and fill in the answer box to complete your choice. OA. The limit of the terms of the series is OB. The limit of the terms of the series is OC. The corresponding integral converges to OD. This series is a p-series with p= so the series converges by the Divergence Test. This is not 0, so the series diverges by the Divergence Test. Therefore, the series converges by the Integral Test. This is greater than 1, so the series converges.

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 a convergence test of your choice to determine whether the following series converges or diverges.
4
2k +3
00
Σ 8
k=1 √3k +1
Select the correct choice below and fill in the answer box to complete your choice.
OA. The limit of the terms of the series is
OB. The limit of the terms of the series is
OC. The corresponding integral converges to
O D. This series is a p-series with p=
so the series converges by the Divergence Test.
This is not 0, so the series diverges by the Divergence Test.
. Therefore, the series converges by the Integral Test.
This is greater than 1, so the series converges.
Transcribed Image Text:Use a convergence test of your choice to determine whether the following series converges or diverges. 4 2k +3 00 Σ 8 k=1 √3k +1 Select the correct choice below and fill in the answer box to complete your choice. OA. The limit of the terms of the series is OB. The limit of the terms of the series is OC. The corresponding integral converges to O D. This series is a p-series with p= so the series converges by the Divergence Test. This is not 0, so the series diverges by the Divergence Test. . Therefore, the series converges by the Integral Test. This is greater than 1, so the series converges.
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