Q: Show that every bounded set in R has a least upper bound. Using either(adsbygoogle = window.adsbygoogle || []).push({});

"Every monotonic and bounded sequence is convergent" or

"Every bounded sequence has an accumulation point" or

"Every bounded sequence has a convergent subsequence"

I'm not really sure how to start this out, but would showing the statement true using a bounded compact set in R that has properties of those three statements be valid enough to show that R has a least upper bound (if this is alright, how would you show it mathematically?)? If not, then what would be the best way to show the statement is true? Thanks.

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# Homework Help: Showing a set is bounded

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