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Math Help - Monotone Cauchy

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    Monotone Cauchy

    Show that a bounded, monotone increasing sequence is cauchy.
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  2. #2
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    Quote Originally Posted by frenchguy87 View Post
    Show that a bounded, monotone increasing sequence is cauchy.
    In the reals, every bounded, monotone sequence converges. SO?
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  3. #3
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    Sooooo i need to prove it's also cauchy! lol
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    Quote Originally Posted by frenchguy87 View Post
    Sooooo i need to prove it's also cauchy! lol
    Are you admitting that you have not or cannot prove that any convergent sequence is a Cauchy sequence?

    BTW. It is Cauchy with a capital C.
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  5. #5
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    so use the fact that it's convergent to prove it's cauchy, thanks you're the best!
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