Use the nth-term test for divergence to show that the series is divergent, or state 00 1 Σ n+ 17 n=0 Select the correct choice below and, if necessary, fill in the answer box within you O A. The series diverges because lim 1 exists and is equal to n+ 17 1 B. The test is inconclusive because lim n+ 17 1 The series diverges because lim 7=∞ and fails to exist.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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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.
00
1
Σ
n+17
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
1
exists and is equal to
n+ 17
n-00
1
B. The test is inconclusive because lim
n+ 17
OC. The series diverges because lim
1
= 0o and fails to exist.
n+ 17
n-00
D. The series diverges because lim
1
= - o and fails to exist.
n+17
n→00
Transcribed Image Text:Use the nth-term test for divergence to show that the series is divergent, or state that the test is inconclusive. 00 1 Σ n+17 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 1 exists and is equal to n+ 17 n-00 1 B. The test is inconclusive because lim n+ 17 OC. The series diverges because lim 1 = 0o and fails to exist. n+ 17 n-00 D. The series diverges because lim 1 = - o and fails to exist. n+17 n→00
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