Choose the letter of the correct answer. If (x_n) is a bounded sequence in R then there is a subsequence (y_n) of (x_n) such that y_n → Las n →∞o and lim inf (x_n) ≤ L≤ lim sup (x_n) a. True b. Sometimes True c. Never True

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Choose the letter of the correct answer.
If (x_n) is a bounded sequence in R then there is a subsequence (y_n) of (x_n) such that y_n
→ Las n →∞o and lim inf (x_n) ≤ L≤ lim sup (x_n)
a. True
b. Sometimes True
c. Never True
Transcribed Image Text:Choose the letter of the correct answer. If (x_n) is a bounded sequence in R then there is a subsequence (y_n) of (x_n) such that y_n → Las n →∞o and lim inf (x_n) ≤ L≤ lim sup (x_n) a. True b. Sometimes True c. Never True
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