Determine whether the alternating series Σ (−1⁰+1 converges or diverges n=2 1 3(In n) Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with p = OB. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p= OC. The series does not satisfy the conditions of the Alternating Series Test but diverges by the Root Test because the limit used does not exist. OD. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r OE. The series converges by the Alternating Series Test

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 98E
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Question
etermine whether the alternating series Σ (-1)+1
n=2
1
3(In n)²
converges or diverges
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is
a p-series with p=
OB. The series does not satisfy the conditions of the Alternating Series Test but converges because it is
a p-series with p=
OC. The series does not satisfy the conditions of the Alternating Series Test but diverges by the Root Test
because the limit used does not exist.
OD. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a
geometric series with r=
OE. The series converges by the Alternating Series Test
Transcribed Image Text:etermine whether the alternating series Σ (-1)+1 n=2 1 3(In n)² converges or diverges Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with p= OB. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p= OC. The series does not satisfy the conditions of the Alternating Series Test but diverges by the Root Test because the limit used does not exist. OD. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r= OE. The series converges by the Alternating Series Test
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