1. Not finding help here? Sign up for a free 30min 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!

Analysis proof help please

  1. Dec 15, 2006 #1
    1. Prove if f:R->R is periodic and continuous, then f is uniformly continuous

    2. There exists h that does not equal zero such that f(x+h)=f(x)
  2. jcsd
  3. Dec 15, 2006 #2

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    Can you think of any results you know about conditions that make continuous functions into uniformly continuous ones?
  4. Dec 15, 2006 #3


    User Avatar
    Staff Emeritus
    Science Advisor

    For 1, I agree with matt grime, Think about theorems that say when a continuous function is uniformly continuous (on a given set of course- "uniform" continuity is always defined on a given set. You want to prove that this function is uniformly continuous on the set of all real numbers. Knowing the function is periodic means you can look at a finite interval!)

    For 2, exactly what is the DEFINITION of "periodic"?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Analysis proof help please
  1. Analysis Proof Help (Replies: 1)