Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. M8 k=0 2 √k+7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply.
∞
Σ
k=0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
2
k+7
B.
The series converges. The value of the integral
(Type an exact answer.)
∞
(Type an exact answer.)
OC. The Integral Test does not apply to this series.
0
The series diverges. The value of the integral
S
0
2
√x+7
2
√x+7
dx is
-dx is
Transcribed Image Text:Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. ∞ Σ k=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 2 k+7 B. The series converges. The value of the integral (Type an exact answer.) ∞ (Type an exact answer.) OC. The Integral Test does not apply to this series. 0 The series diverges. The value of the integral S 0 2 √x+7 2 √x+7 dx is -dx is
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