Use an appropriate test to determine whether the following series converges. 8!!! Σ 9 3 k=1 ³√k Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. The series converges by the Integral Test. The value of 1 O D. B. The series converges. It is a p-series with p = O c. The series diverges. It is a p-series with p = 9 3 dx is 9 The series converges by the Divergence Test. The value of lim k→∞ √k 9 E. The series diverges by the Divergence Test. The value of lim k→∞ √k is 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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Use an appropriate test to determine whether the following series converges.
8!!!
Σ
9
3
k=1 ³√k
Select the correct choice below and fill in the answer box to complete your choice.
(Simplify your answer.)
O A. The series converges by the Integral Test. The value of
1
O D.
B. The series converges. It is a p-series with p =
O c. The series diverges. It is a p-series with p =
9
3
dx is
9
The series converges by the Divergence Test. The value of lim
k→∞ √k
9
E.
The series diverges by the Divergence Test. The value of lim
k→∞ √k
is
is
Transcribed Image Text:Use an appropriate test to determine whether the following series converges. 8!!! Σ 9 3 k=1 ³√k Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. The series converges by the Integral Test. The value of 1 O D. B. The series converges. It is a p-series with p = O c. The series diverges. It is a p-series with p = 9 3 dx is 9 The series converges by the Divergence Test. The value of lim k→∞ √k 9 E. The series diverges by the Divergence Test. The value of lim k→∞ √k is is
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive.
4k²
Σ k!
M8
k=1
Choose the correct answer below.
4k²
k!
O A. The series converges because lim #0.
k→∞
4k²
k!
OB. The series diverges because lim #0.
k→∞
O c. The series converges because lim
k→∞
4K²
k!
O E. The Divergence Test is inconclusive.
= 0.
4k²
D. The series diverges because lim = 0.
k!
k→∞
Transcribed Image Text:Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. 4k² Σ k! M8 k=1 Choose the correct answer below. 4k² k! O A. The series converges because lim #0. k→∞ 4k² k! OB. The series diverges because lim #0. k→∞ O c. The series converges because lim k→∞ 4K² k! O E. The Divergence Test is inconclusive. = 0. 4k² D. The series diverges because lim = 0. k! k→∞
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