true or false prove your answer If (an) is Cauchy and p is a number such that for infinitely many values of k, |a k − p| < 1/2, then (an) converges to a limit L that lies in the interval [p −1/2, p + 1/2]
true or false prove your answer If (an) is Cauchy and p is a number such that for infinitely many values of k, |a k − p| < 1/2, then (an) converges to a limit L that lies in the interval [p −1/2, p + 1/2]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 47E
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true or false prove your answer
If (an) is Cauchy and p is a number such that for infinitely many values of k,
|a k − p| < 1/2, then (an) converges to a limit L that lies in the interval [p −1/2, p + 1/2]
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