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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F511d779c-bf10-4315-98b1-4f0038c55113%2Fa64d8c7a-e3bb-4043-9d19-b8cca5093941%2Fzprevl_processed.png&w=3840&q=75)
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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