25. Let an := n 2 1. Which of these conditions must be met if a, is to converge n+1 to 1? I. for any e > 0, n > II. for any e > 0, | II. for any e > 0, | kevn2 n(e). |> e Vn 2 n(e). n+: 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..

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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25. Let an :=
n 2 1. Which of these conditions must be met if an is to converge
n+1
to 1?
I. for any e > 0, n >
II. for any e > 0, |
II. for any e > 0, |
ke vn2 n(e).
|> e Vn 2 n(e)..
n+:
A. I and II only
В. I only
C. II and III only
D. I and III only
E None of the above choices A, B, C or D..
Transcribed Image Text:25. Let an := n 2 1. Which of these conditions must be met if an is to converge n+1 to 1? I. for any e > 0, n > II. for any e > 0, | II. for any e > 0, | ke vn2 n(e). |> e Vn 2 n(e).. n+: A. I and II only В. I only C. II and III only D. I and III only E None of the above choices A, B, C or D..
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