6. Let E≤X where X is a metric space. Show the limit points of E are the same as the limit points of E, the closure of E. That is, show E' = (EUE')'.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 9E
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6. Let E≤X
E≤X where X is a metric space. Show the limit
points of E are the same as the limit points of E,
the closure of E. That is, show E' = (EUE').
Transcribed Image Text:K * * 6. Let E≤X E≤X where X is a metric space. Show the limit points of E are the same as the limit points of E, the closure of E. That is, show E' = (EUE').
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