Use the Integral Test to determine whether the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. 00 Σ k=0 8 √k+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series diverges because the conditions of the Integral Test are satisfied and the value of the integral (Type an exact answer.) 00 8 √x+6 00 f О в. The series converges because the conditions of the Integral Test are satisfied and the value of the integral (Type an exact answer.) O c. The Integral Test does not apply to this series. -dx is 8 √√x+6 dx is
Use the Integral Test to determine whether the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. 00 Σ k=0 8 √k+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series diverges because the conditions of the Integral Test are satisfied and the value of the integral (Type an exact answer.) 00 8 √x+6 00 f О в. The series converges because the conditions of the Integral Test are satisfied and the value of the integral (Type an exact answer.) O c. The Integral Test does not apply to this series. -dx is 8 √√x+6 dx is
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Use the Integral Test to determine whether the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied.
00
Σ
k=0
8
√k+6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
The series diverges because the conditions of the Integral Test are satisfied and the value of the integral
(Type an exact answer.)
OB.
00
8
√x+6
00
f
The series converges because the conditions of the Integral Test are satisfied and the value of the integral
(Type an exact answer.)
O c. The Integral Test does not apply to this series.
-dx is
8
√√x+6
dx is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1649ff71-a58e-472b-ae18-cd4acabf2517%2Fbbb088ab-40cf-4a5d-bb75-f397cf0bdd5b%2F3n2xfcw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Integral Test to determine whether the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied.
00
Σ
k=0
8
√k+6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
The series diverges because the conditions of the Integral Test are satisfied and the value of the integral
(Type an exact answer.)
OB.
00
8
√x+6
00
f
The series converges because the conditions of the Integral Test are satisfied and the value of the integral
(Type an exact answer.)
O c. The Integral Test does not apply to this series.
-dx is
8
√√x+6
dx is
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