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Limit point on a plane

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Prove that every infinite and bounded point collection in the plane (R2) has a limit point.

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Solution Summary

This is a proof regarding limit points.

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Bolzano-Weierstrass Theorem: Every bounded infinite subset of R has a limit point in R.

Let S={ (xi, yi), i=1,2,3,4.....(xi,yi) in ...

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