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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

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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