Use the nth-term test for divergence to show that the series is divergent, or state that the test is inconclusive. ∞ 1 Σ n=0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. n+19 C. 1 n→∞ n+19 The series diverges because lim B. The series diverges because lim n-x 1 n+19 The test is inconclusive because lim n-x D. The series diverges because lim = ∞ and fails to exist. 1 n+19 exists and is equal to 1 n+19 = = ∞o and fails to exist. ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 71E
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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+19
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.
D.
1
non+19
The series diverges because lim
1
n+19
O c. The test is inconclusive because lim
n→∞
The series diverges because lim
n→∞
= ∞ and fails to exist.
1
n+19
exists and is equal to
1
n+19
=
- ∞ 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+19 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. D. 1 non+19 The series diverges because lim 1 n+19 O c. The test is inconclusive because lim n→∞ The series diverges because lim n→∞ = ∞ and fails to exist. 1 n+19 exists and is equal to 1 n+19 = - ∞ and fails to exist.
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