Let S ~ IR be nonempty. Show that if u =sup S, then for every number n e N the number u
Chapter 2, Problem 8(choose chapter or problem)
Let S ~ IR be nonempty. Show that if u =sup S, then for every number n e N the number u - 1In is not an upper bound of S, but the number u + IIn is an upper bound of S. (The converse is also true; see Exercise 2.4.3.)
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