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Homework Help: Using Lipschitz continuity on open intervals

  1. Nov 11, 2013 #1
    1. The problem statement, all variables and given/known data

    Prove whether f(x) = x^3 is uniformly continuous on [-1,2)

    2. Relevant equations



    3. The attempt at a solution
    I used Lipschitz continuity. f has a bounded derivative on that interval, thus it implies f is uniformly continuous on that interval.

    But as it is not a closed interval, I am not sure I can use that approach. Any insight would be appreciated. Thanks.
     
  2. jcsd
  3. Nov 11, 2013 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Maybe you should look at the definition of uniform continuity. I'm not sure why you are concerned about whether the interval is closed or not.
     
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