Let (xn)be a boundedsequenceand for each n E N let sn := sup{xk:k 2: n} and S :=

Chapter 3, Problem 10

(choose chapter or problem)

Let (xn)be a boundedsequenceand for each n E N let sn := sup{xk:k 2: n} and S := inf{sn}' Show that there exists a subsequence of (xn) that converges to S.

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