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Suppose (an) is a sequence such that a1 ≤ a2 ≤ a3 ≤ . . . ≤ u for some number u. Prove that (an) converges to the least

Posted: Tue Sep 07, 2021 7:24 am
by answerhappygod
Suppose (an) is a sequence such that a1 ≤ a2 ≤ a3 ≤ . . . ≤ u for some number u.
Prove that (an) converges to the least upper bound of {an : n ∈ n}.