1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook