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Theorem: A set in R is compact if and only if it is closed and bounded. {}} A) Determine and justify if the set is compact or not. NEN B) Determine and justify if the set {0} U {} nEN is compact or not.

Theorem: A set in R is compact if and only if it is closed and bounded. {}} A) Determine and justify if the set is compact or not. NEN B) Determine and justify if the set {0} U {} nEN is compact or not.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Theorem: A set in R is compact if and only if it is closed and bounded. A) Determine and justify if the set is compact or not. NEN B) Determine and justify if the set {0} U {=} wwwm NEN is compact or not.
Transcribed Image Text:Theorem: A set in R is compact if and only if it is closed and bounded. A) Determine and justify if the set is compact or not. NEN B) Determine and justify if the set {0} U {=} wwwm NEN is compact or not.
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Given theorem is: A set in R is compact of and only if it is closed and bounded.

 

A) To determine and justify: If the set 1nn∈ℕ is compact or not.

 

B) To determine and justify: If the set 0∪1nn∈ℕ is compact or not.

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