let A be an infinite subset of R and R is bounded above, and u:= sup A. show that there exist a sequence (Xn) with X(n) belongs to A, such that u = lim(Xn).(adsbygoogle = window.adsbygoogle || []).push({});

ok, so suppose that there does exist a sequence X(n) in A. We know that SupA = u. by the subsequence theorem, if A converges to u, then so will any sequence that belongs to it right? and by another theorem, the limit is the supremum....correct?

I dont know...maybe too easy? I feel I didn't cover everything

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# Jumping to conclusions here?

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