Let S be a nonempty bounded above subset of R . prove that there is a sequence of elements of S that converges to sup S
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Originally Posted by flower3 Let S be a nonempty bounded above subset of R . prove that there is a sequence of elements of S that converges to sup S Let Then such that since is not an upper bound for The sequence converges to
Originally Posted by proscientia Let Then such that since is not an upper bound for The sequence converges to it's not belongs to !!!! both are sets ,so the truth subsets
[PHP][/PHP] You said "a sequence of elements of S". Did you mean "a sequence of subsets of S"? sup S is definitely a number. How does a sequence of sets converge to a number? I think you have misunderstood the question.
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