Use the nth-term test for divergence to show that the series is divergent, or state that the test is inconclusive. 1 n+7 Σ n=0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The test is inconclusive because lim n→∞ 1 n+7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the nth-term test for divergence to show that the series is divergent, or state that the test is inconclusive.
1
n+7
Σ
n=0
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A.
O B.
The test is inconclusive because lim
n→∞
O D.
The series diverges because lim
n→∞
O c. The series diverges because lim
n→∞
The series diverges because lim
n→∞
1
n+7
1
n+7
1
n+7
1
n+7
= ∞o and fails to exist.
exists and is equal to
=
∞o and fails to exist.
Transcribed Image Text:Use the nth-term test for divergence to show that the series is divergent, or state that the test is inconclusive. 1 n+7 Σ n=0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. O B. The test is inconclusive because lim n→∞ O D. The series diverges because lim n→∞ O c. The series diverges because lim n→∞ The series diverges because lim n→∞ 1 n+7 1 n+7 1 n+7 1 n+7 = ∞o and fails to exist. exists and is equal to = ∞o and fails to exist.
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