[Solved] Let S be a bounded infinite set and let x = sup S. Prove: if x is not an element of S, then x is an element of
Question: Let S be a bounded infinite set and let x = sup S. Prove: if x is not an element of S, then x is an element of S'
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![Step-by-Step Solution](/images/solutions/MC-solution-library-51860.jpg "[See Solution] prove: bd(S)=cl(S)∩ cl(R\")
[See Solution] prove: bd(S)=cl(S)∩ cl(R\
(Step-by-Step) prove: bd S is a closed
![[See Solution] Let A be a nonempty](/images/solutions/MC-solution-library-51862.jpg "[See Solution] Let A be a nonempty open subset of Real numbers and")
[See Solution] Let A be a nonempty open subset of Real numbers and
(Steps Shown) Prove: If x > 0 and x < E for all E > 0, then x =
![[Step-by-Step] Using only definition: A sequence, t,](/images/solutions/MC-solution-library-51864.jpg "[Step-by-Step] Using only definition: A sequence, t, converges to")
[Step-by-Step] Using only definition: A sequence, t, converges to
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