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Math Help - Proof of Continunity-why are taken min(1,e) to choose delta epsilon

  1. #1
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    Proof of Continunity-why are taken min(1,e) to choose delta epsilon

    Prove that the function f(x) = 1/2+x is continuous at x=0.

    I have attached the solution. My question is why are they choosing between minimum of epsilon and 1 for the value of delta epsilon?

    Any help would be appreciated.

    Thanks
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  2. #2
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    The reason is contained in the next line after the part you underlined.
    It makes the setup happen.
    Last edited by Plato; May 12th 2009 at 01:10 PM.
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