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Lipschitz continuity

  1. Mar 1, 2010 #1
    1. The problem statement, all variables and given/known data

    Show f(x) = x^(1/3) is not lipschitz continuous on (-1,1).

    2. Relevant equations

    I have abs(f(x)-f(y)) <= k*abs(x-y)

    when I try to show that there is no K to satisfy I have problems
     
  2. jcsd
  3. Mar 1, 2010 #2
    Examine |f'(x)| as x tends to 0.
     
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