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Math Help - [SOLVED] tough limit problem.

  1. #1
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    [SOLVED] tough limit problem.

    Hi there, I'm self-studying Protter's "A First Course In Real Analysis" and I've come across a limit problem that I've tried hard to solve, but yet have had difficulties completing the proof. The theorem is as stated:

    Theorem: Suppose that and . If there is a number such that for then

    To prove this we need (I assume) to show that such that .

    After trying to prove this directly, I come up with , where is the positive number used in the argument of and but obviously ,
    and so this conclusion does not hold for all A>0 .

    Again, I can show my work if you would like (I'm clumsy with latex so I just stated my result), but any help would be appreciated. Thanks a lot.

    Eric
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  2. #2
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    What is the exact statement of the question?
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  3. #3
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    well im trying to prove this theorem:

    Theorem: Suppose that and . If there

    is a number such that for

    then .
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  4. #4
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    nevermind, easily done
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