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Homework Help: 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
     
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