1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

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


    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted