Use the Ratio Test or the Root Test to determine whether the following series converges absolutely or diverges. k ∞ Σ(-1)k+1 1/4+1/= k=1 9k + k 3 8k+k+1 Select the correct choice below and fill in the answer box within your choice. (Simplify your answer.) A. The series diverges by the Root Test because p = B. The series diverges by the Ratio Test because r= C. The Root Test is inconclusive because p= D. The series converges absolutely by the Root Test because p= E. The Ratio Test is inconclusive because r = O F. The series converges absolutely by the Ratio Test because r =

Calculus: Early Transcendentals
8th Edition
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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 the Ratio Test or the Root Test to determine whether the following series converges absolutely or diverges.
k
∞
Σ(-1)k+1
1/4+1/=
k=1
9k + k
3
8k+k+1
Select the correct choice below and fill in the answer box within your choice.
(Simplify your answer.)
A. The series diverges by the Root Test because p =
B. The series diverges by the Ratio Test because r=
C. The Root Test is inconclusive because p=
D. The series converges absolutely by the Root Test because p=
E. The Ratio Test is inconclusive because r =
O F. The series converges absolutely by the Ratio Test because r =
Transcribed Image Text:Use the Ratio Test or the Root Test to determine whether the following series converges absolutely or diverges. k ∞ Σ(-1)k+1 1/4+1/= k=1 9k + k 3 8k+k+1 Select the correct choice below and fill in the answer box within your choice. (Simplify your answer.) A. The series diverges by the Root Test because p = B. The series diverges by the Ratio Test because r= C. The Root Test is inconclusive because p= D. The series converges absolutely by the Root Test because p= E. The Ratio Test is inconclusive because r = O F. The series converges absolutely by the Ratio Test because r =
Use the Ratio Test or the Root Test to determine if the following series converges absolutely or diverges.
8!!!
Σ
k=1
-17)k
k!
Select the correct choice below and fill in the answer box to complete your choice.
A. The series converges absolutely by the Ratio Test because r = 0.
B. The series diverges by the Root Test because p=
OC. Both tests are inconclusive because r =
and p =
Transcribed Image Text:Use the Ratio Test or the Root Test to determine if the following series converges absolutely or diverges. 8!!! Σ k=1 -17)k k! Select the correct choice below and fill in the answer box to complete your choice. A. The series converges absolutely by the Ratio Test because r = 0. B. The series diverges by the Root Test because p= OC. Both tests are inconclusive because r = and p =
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