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Math Help - need help on delta epsilon proof

  1. #1
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    need help on delta epsilon proof

    if is a polynomial, then

    so i have |x-a|< δ
    and |p(x)-p(a)|< ε

    but i have no idea what to do next. please help.
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  2. #2
    Super Member Random Variable's Avatar
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    Some rules:

    If  \lim_{x \to a} f(x) = L and  \lim_{x \to a} g(x) = M

    then  \lim_{x \to a} (f+g)(x)=L+M and  \lim_{x \to a} (fg)(x)=LM


    also  \lim_{x \to a} \ (kf)(x) = kL



    Prove that  \lim_{x \to a}x = a

    Now use the product rule and induction to show that  \lim_{x \to a}x^{n} = a^{n}

    Finally use the mutiple rule and the sum rule
    Last edited by Random Variable; August 23rd 2009 at 06:12 PM.
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