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Calc Summer Assignment

  1. Aug 17, 2005 #1
    Determine the value of c so that f(x) is continuous on the entire real line if

    f(x)={ x^2, x<_3 (less than or equal to)
    { c/x, x>3

    I've been trying by just guess and check, but I have absolutely NO idea!
    Please help!
  2. jcsd
  3. Aug 17, 2005 #2


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    Choose c so that
    [tex]\lim_{x\rightarrow 3^-}f(x)=\lim_{x\rightarrow 3^+}f(x)=f(3)[/tex]
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