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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. 00 3 Σ k=2 k in k 2 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. 00 The series converges because 3. dx =D x Inx O A. 2 (Type an exact answer.) 00 The series diverges because -dx = 2. x Inx в. (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.

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 3 Σ k=2 k in k 2 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. 00 The series converges because 3. dx =D x Inx O A. 2 (Type an exact answer.) 00 The series diverges because -dx = 2. x Inx в. (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
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 Integral Test are satisfied. 00 3 Σ k=2 k Ink 2 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. O A. The series converges because 3 dx = 2 x In x (Type an exact answer.) 00 3 dx%3D 2. 2 xIn x The series diverges because в. (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: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 3 Σ k=2 k Ink 2 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. O A. The series converges because 3 dx = 2 x In x (Type an exact answer.) 00 3 dx%3D 2. 2 xIn x The series diverges because в. (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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