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!

Uniform Continuity question

  1. May 2, 2017 #1
    1. The problem statement, all variables and given/known data
    Prove that f(x) = 1/(|x|+1) is uniformly continuous on R.

    2. Relevant equations

    3. The attempt at a solution
    This needs to be an e-d proof (epsilon-delta).

    So I suppose we should start with let e>0, then we want to find a d such that for all x,y in R, if |x-y|<d then |f(x)-f(y)|<e.

    I'm having trouble locating a d that will work, is there some algebra trick or other type of trick that can help me?
  2. jcsd
  3. May 2, 2017 #2
    bump because i don't want 666 post count
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads - Uniform Continuity question Date
Complex uniform continuity Sep 16, 2017
Uniform continuity proof Dec 29, 2016
A question about uniform continuity (analysis) Dec 16, 2012
Numerical Analysis: Uniform Continuity Question Oct 27, 2011
Uniform Continuity Question Oct 20, 2010