25. Let a, := (), n2 1. Which of these conditions must be met if a, is to converge n+1 to 1? I for any e > 0, n > I. for any e > 0, | SkEvnz n(e). I. for any e > 0, | >Vn 2 n(e). A. I and II only B. I only C. II and III only D. I and III only E. None of the above choices A, B, C or D..

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 17E
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25. Let a, :=
), n2 1. Which of these conditions must be met if a, is to converge
to 1?
I. for any e > 0, n >:
II. for any e > 0, |Ake vn > n(e)..
II. for any e > 0, | > E Vn 2 n(e).
A. I and II only
B. I only
C. II and III only
D. I and III only
E. None of the above choices A, B, C or D..
n+1
n+1
Transcribed Image Text:25. Let a, := ), n2 1. Which of these conditions must be met if a, is to converge to 1? I. for any e > 0, n >: II. for any e > 0, |Ake vn > n(e).. II. for any e > 0, | > E Vn 2 n(e). A. I and II only B. I only C. II and III only D. I and III only E. None of the above choices A, B, C or D.. n+1 n+1
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