14. Let (S, d) be a metric space, ACS, and c E S. Prove that c is a cluster point of A if and only if there is a sequence (an) in A\ {c} that converges to e (in S).
14. Let (S, d) be a metric space, ACS, and c E S. Prove that c is a cluster point of A if and only if there is a sequence (an) in A\ {c} that converges to e (in S).
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 32E
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