25. Let a, :=), n2 1. Which of these conditions must be met if a, is to convergeto 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 onlyB. I onlyC. II and III onlyD. I and III onlyE. None of the above choices A, B, C or D..n+1n+1

Note that for ε→0, 1ε-1→∞, thus from the condition n>1ε-1, n→∞. Thus, the condition I is…

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..

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..

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

100%

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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