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Math Help - Find the limit

  1. #1
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    Find the limit

    Suppose that b<= (L + Epsilon) for all Epsilon > 0.

    Prove that b <= L.


    I have been working on this for the last hour. I think it has to work either with contradiction or contrapositive, but I couldn't figure out.
    Could you guys give me suggestions to start?
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  2. #2
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    Quote Originally Posted by kaka87 View Post
    Suppose that b<= (L + Epsilon) for all Epsilon > 0.
    Prove that b <= L.
    Suppose that b>L then let \varepsilon  = \frac{{b - L}}{2} > 0.

    Apply that to the given and see a contradiction.
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