Let S be an infinite and bounded subset of R. Thus S has a point of accumulation.(adsbygoogle = window.adsbygoogle || []).push({});

Proof: Let T be the set of reals such that for every t E T there are infinitely many elements of S larger than t. Let M be such that -M<S0<M for all S0 E S.

The set T is nonempty and bounded and hence it has a supremum say A.

Proof of claim: A is an accumulation point of S.

Can someone please help me with the proof of the claim or give it to me rather? Never did I expect such a course that demanded so much memorization.

Thanks

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# Homework Help: Bolzano-Weierstrass Theorem

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