Use a convergence test of your choice to determine whether the following series converges or diverges. 8 Σ k=1 3 2 4K +8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The Ratio Test yields r = OB. The Ratio Test yields r= C. O D. Because Because 3 ∞ 3 S and Σ k=1 2 4k +8 k 3 2 4k +8 k ∞ 3 > and Σ k=1 This is greater than 1, so the series diverges by the Ratio Test. (Type an exact answer.) This is less than 1, so the series converges by the Ratio Test. (Type an exact answer.) CO 3 3 converges, the given series converges by the Comparison Test. V diverges, the given series diverges by the Comparison Test.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use a convergence test of your choice to determine whether the following series converges or diverges.
∞
Σ
k=1
3
2
4k +8
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The Ratio Test yields r=
OB. The Ratio Test yields r =
C.
D.
Because
Because
3
4k +8 k
3
∞
3
S and Σ
k=1
≥
32
2
4K +8 k
This is greater than 1, so the series diverges by the Ratio Test. (Type an exact answer.)
This is less than 1, so the series converges by the Ratio Test. (Type an exact answer.)
∞
and Σ
k=1
3
k²
...
FN|W
k²
converges, the given series converges by the Comparison Test.
N
diverges, the given series diverges by the Comparison Test.
Transcribed Image Text:Use a convergence test of your choice to determine whether the following series converges or diverges. ∞ Σ k=1 3 2 4k +8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The Ratio Test yields r= OB. The Ratio Test yields r = C. D. Because Because 3 4k +8 k 3 ∞ 3 S and Σ k=1 ≥ 32 2 4K +8 k This is greater than 1, so the series diverges by the Ratio Test. (Type an exact answer.) This is less than 1, so the series converges by the Ratio Test. (Type an exact answer.) ∞ and Σ k=1 3 k² ... FN|W k² converges, the given series converges by the Comparison Test. N diverges, the given series diverges by the Comparison Test.
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