Checking and Proving the following by the Archimedean Property of Reals. First part I believe is done. Unsure about second part.Help proving the following using Archimedean Property of Realsliminf and limsup propertiesAn Exercise in The Convergence of Sequences of SetsEach bounded measurable function $f:[a,b]tomathbbR$ is almost a Borel function.Analysis Problem - Showing statements are true.Proof that a sequence of set has a set dense somewhere in $[a,b]$If $E_i$ is open show $cap E_i$ is openA Sequence of Real Values Measurable Functions can be Dominated by a SequenceUnderstanding density of irrational numbers and Archemedian propertyTernary expansion and Cantor set
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