Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 00 Σ 3k k = 4 7e Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series diverges. The value of the integral dx is 3x 7 e 4 (Type an exact answer.) O B. 00 The series converges. The value of the integral xp is 7 3x (Type an exact answer.) O C. The Integral Test does not apply to this series.

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.
1
Σ
3k
7 e
k= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
dx
The series diverges. The value of the integral
is
3x
7 e
(Type an exact answer.)
O B.
dx
is
Ze 3x
The series converges. The value of the integral
7e
(Type an exact answer)
OC. The Integral Test does not apply to this series.
8.
8.
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 3k 7 e k= 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. dx The series diverges. The value of the integral is 3x 7 e (Type an exact answer.) O B. dx is Ze 3x The series converges. The value of the integral 7e (Type an exact answer) OC. The Integral Test does not apply to this series. 8. 8.
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