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Limit Point of A set


Sheff

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A "bounded infinite set" is a discrete (finite) subset of an infinite set as opposed to a discrete subset of a discrete set.

 

 

Eg

finite set {alphabet} discrete subset {letters a - g}

infinite set {integers} discrete subset {0 - 20}

 

Careful here.

 

Both the sets [0,1] and (0,1) are infinite bounded subsets of R.

 

The question is surely fairly trivial since R is unbounded (1)

 

So partitioning R into subsets S and S' where S' is the null set and S is R is contradicts (1)

 

Sheff, Is this homework???

 

I will leave you to finish off formally, moderators may move this to the homework section.

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