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IS set of real number R  is compact If not then prove that it is no.pdf

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IS set of real number R is compact? If not then prove that it is not compact Solution the set containing exactly two members try n-1 and n+1. if it does,nt work then it should not be compact. Since the definition of compact means every open cover has a finite subcover. so if you would find the sub-cover with n-1 and n+1 and if it does,nt work then its non compact..

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IS set of real number R is compact? If not then prove that it is not compact Solution the set containing exactly two members try n-1 and n+1. if it does,nt work then it should not be compact. Since the definition of compact means every open cover has a finite subcover. so if you would find the sub-cover with n-1 and n+1 and if it does,nt work then its non compact.

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  • 1. IS set of real number R is compact? If not then prove that it is not compact Solution the set containing exactly two members try n-1 and n+1. if it does,nt work then it should not be compact. Since the definition of compact means every open cover has a finite subcover. so if you would find the sub-cover with n-1 and n+1 and if it does,nt work then its non compact.