Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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.
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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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Step 1

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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