Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. 00 5 Σ k In2k k=4 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. 00 5 -dx = x In x The series converges because OA. 4 (Type an exact answer.) 00 5 dx%3D x In x The series diverges because O B. (Type an exact answer.) OC. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfied.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied.
Σ
k In ?k
k= 4
...
Select the correct choice below and, if necessary, fill in the answer box to complete the choice.
5
xp-
2.
x Inx
The series converges because
A.
4
(Type an exact answer.)
The series diverges because
В.
x In x
(Type an exact answer.)
C. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfied.
Transcribed Image Text:Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. Σ k In ?k k= 4 ... Select the correct choice below and, if necessary, fill in the answer box to complete the choice. 5 xp- 2. x Inx The series converges because A. 4 (Type an exact answer.) The series diverges because В. x In x (Type an exact answer.) C. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfied.
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