Problem 3. Let SCR, SØ, and x € R. Prove that x = cl S iff N(x; c) n SØ for all e > 0.
Problem 3. Let SCR, SØ, and x € R. Prove that x = cl S iff N(x; c) n SØ for all e > 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 51E
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![Problem 3. Let S CR, SØ, and x € R. Prove that x E cl S iff N(x; ɛ) ^
SØ for all & > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F690bc708-737a-4036-8bde-cd8ee17ec8dd%2F55994d3f-19b2-451a-8fef-c43bf23046af%2Fk4ntm2b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 3. Let S CR, SØ, and x € R. Prove that x E cl S iff N(x; ɛ) ^
SØ for all & > 0.
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