Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not app ∞ 1 Σ k 8 e k=4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges. The value of the integral ∞ dx is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
∞ 1
Σ k
e
8
k = 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
B.
The series converges. The value of the integral
(Type an exact answer.)
∞
The series diverges. The value of the integral
s
(Type an exact answer.)
OC. The Integral Test does not apply to this series.
∞
4
dx
8
dx
8 e
X
X
is
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 ∞ 1 Σ k e 8 k = 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. B. The series converges. The value of the integral (Type an exact answer.) ∞ The series diverges. The value of the integral s (Type an exact answer.) OC. The Integral Test does not apply to this series. ∞ 4 dx 8 dx 8 e X X is is
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