Consider R with the standard metric. Let ECR be a subset which has no limit points. Show that E is at most countable.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 5A
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Consider R with the standard metric. Let ECR be a subset which has
no limit points. Show that E is at most countable.
Transcribed Image Text:Consider R with the standard metric. Let ECR be a subset which has no limit points. Show that E is at most countable.
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