Which of the following conditions are necessary to conclude that the series an converges using the alternating series test? n=1 I. The terms an alternate in sign for all n > N for some positive integer N. II. lim an = 0 n-00 II. Jam+1] < |an| for all n > N for some positive integer N. A I only I and II only Il and III only D I, II, and III
Which of the following conditions are necessary to conclude that the series an converges using the alternating series test? n=1 I. The terms an alternate in sign for all n > N for some positive integer N. II. lim an = 0 n-00 II. Jam+1] < |an| for all n > N for some positive integer N. A I only I and II only Il and III only D I, II, and III
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 6
8.
Which of the following conditions are necessary to conclude that the series
An converges using the alternating series test?
1. The terms a,n alternate in sign for all n > N for some positive integer N.
II. lim an = 0
II. Jan+1] < |an| for all n > N for some positive integer N.
A
I only
В
I and II only
Il and III only
D
I, II, and III](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e4fb6e7-7ed0-4623-a86a-d452a7acee31%2F7a0f9805-d298-4d76-88db-10359f977e69%2F6aaq7q6_processed.png&w=3840&q=75)
Transcribed Image Text:Question 6
8.
Which of the following conditions are necessary to conclude that the series
An converges using the alternating series test?
1. The terms a,n alternate in sign for all n > N for some positive integer N.
II. lim an = 0
II. Jan+1] < |an| for all n > N for some positive integer N.
A
I only
В
I and II only
Il and III only
D
I, II, and III
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