Next ques Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integra 00 Σ. 9 k=5 k Ink Select the correct choice below and, if necessary, fill in the answer box to complete the choice. 00 9 -dx = 2 x Inx O A. The series converges because 5 (Type an exact answer.) 9. The series diverges because Ов. 2. x In"x (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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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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 Integra
9.
Σ
2
k= 5 k In k
Select the correct choice below and, if necessary, fill in the answer box to complete the choice.
The series converges because
O A.
dx =
2
x In-x
(Type an exact answer.)
00
The series diverges because
В.
2.
5 x In x
(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.
Transcribed Image Text:Next question Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integra 9. Σ 2 k= 5 k In k Select the correct choice below and, if necessary, fill in the answer box to complete the choice. The series converges because O A. dx = 2 x In-x (Type an exact answer.) 00 The series diverges because В. 2. 5 x In x (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.
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