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Math Help - [SOLVED] monotone sequence

  1. #1
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    # theory analysis

    Let be a bounded sequence, and for each let sup{>}. Prove that (s_n) is monotone.
    Last edited by perfectnumber; October 13th 2008 at 12:04 AM.
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  2. #2
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    Quote Originally Posted by perfectnumber View Post
    Let be a bounded sequence, and for each let sup{>} and t_n := inf{>}. Prove that (s_n) and (t_n) are monotone and convergent. Also prove that if lim(s_n) = lim(t_n), then (x_n) is convergent.
    All the details can be found in post #2 here.
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