se the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. 8 Σ k=0 k5 5 3k +1 Select the correct answer below and fill in the answer box to complete your choice. OA. According to the Divergence Test, the series converges because lim k→∞ (Simplify your answer.) C. The Divergence Test is inconclusive because lim ak = ... (Simplify your answer.) B. According to the Divergence Test, the series diverges because lim ak = k→∞ k→∞ (Simplify your answer.) D. The Divergence Test is inconclusive because lim a., does not exist. ak =

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive.
Σ
k=0
45
5
3k + 1
Select the correct answer below and fill in the answer box to complete your choice.
A. According to the Divergence Test, the series converges because lim ak
=
k→∞
(Simplify your answer.)
B. According to the Divergence Test, the series diverges because lim ak=
k→∞
(Simplify your answer.)
ак
OC. The Divergence Test is inconclusive because lim ak =
k→∞
(Simplify your answer.)
D. The Divergence Test is inconclusive because lim a does not exist.
Transcribed Image Text:Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. Σ k=0 45 5 3k + 1 Select the correct answer below and fill in the answer box to complete your choice. A. According to the Divergence Test, the series converges because lim ak = k→∞ (Simplify your answer.) B. According to the Divergence Test, the series diverges because lim ak= k→∞ (Simplify your answer.) ак OC. The Divergence Test is inconclusive because lim ak = k→∞ (Simplify your answer.) D. The Divergence Test is inconclusive because lim a does not exist.
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive.
k5
EX
Σ
5
3k + 1
k=0
OA. According to the Divergence Test, the series converges because lim a
k→∞
(Simplify your answer.)
=
B. According to the Divergence Test, the series diverges because lim ak=
k→∞
(Simplify your answer.)
=
OC. The Divergence Test is inconclusive because lim ak
k→∞
(Simplify your answer.)
D. The Divergence Test is inconclusive because lim a does not exist.
k→∞
Transcribed Image Text:Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. k5 EX Σ 5 3k + 1 k=0 OA. According to the Divergence Test, the series converges because lim a k→∞ (Simplify your answer.) = B. According to the Divergence Test, the series diverges because lim ak= k→∞ (Simplify your answer.) = OC. The Divergence Test is inconclusive because lim ak k→∞ (Simplify your answer.) D. The Divergence Test is inconclusive because lim a does not exist. k→∞
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