Let x be an accumulation point of {an|n ∈ N}. Prove that there exists a subsequence of {an} ∞ n=1 that converges to x.
Let x be an accumulation point of {an|n ∈ N}. Prove that there exists a subsequence of {an} ∞ n=1 that converges to x.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Let x be an accumulation point of {an|n ∈ N}. Prove that there exists a subsequence of {an} ∞ n=1 that converges to x.
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