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    Let (a_n) be a bounded sequence and define the set
    S={x belong to R: x< a_n for infinitely many terms a_n}.
    show that there exists a subsequence(a_nk) converging to s=sup S

    © BrainMass Inc. brainmass.com March 4, 2021, 6:03 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/real-analysis-26498

    Solution Summary

    This is a proof regarding a bounded sequences and subsequences.

    $2.49

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