Use the nth-term test for divergence to show that the series is divergent, or state that the test is inconclusive. ∞ Σ n=0 Select the correct choice below and, if necessary, fill in the answer box within your choice. 1 n+11 A. The series diverges because lim n→∞ B. D. O c. The series diverges because lim n→∞ The test is inconclusive because lim n→∞ 1 n+11 The series diverges because lim n→∞ 1 n+11 1 n+11 exists and is equal to 1 n+11 = = ∞ and fails to exist. = ∞ and fails to exist.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
Σ n+11
n=0
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The series diverges because lim
n→∞
B. The test is inconclusive because lim
n→∞
C. The series diverges because lim
n→∞
1
n+11
D. The series diverges because lim
n→∞
1
n+11
1
n+11
exists and is equal to
1
n+11
=
=
∞ and fails to exist.
= ∞ 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 Σ n+11 n=0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The series diverges because lim n→∞ B. The test is inconclusive because lim n→∞ C. The series diverges because lim n→∞ 1 n+11 D. The series diverges because lim n→∞ 1 n+11 1 n+11 exists and is equal to 1 n+11 = = ∞ and fails to exist. = ∞ and fails to exist.
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