Numerical Analysis: Uniform Continuity Question

  1. This isn't so much of a homework problem as a general question that will help me with my homework.

    I am supposed to prove that a given function is uniformly continuous on an open interval (a,b).

    Since for any continuous function on a closed interval is uniformly continuous, I am curious if I can prove that the function is uniformly continuous on [a,b], then it is also uniformly continuous on (a,b).

    Thanks!
     
  2. jcsd
  3. LCKurtz

    LCKurtz 8,404
    Homework Helper
    Gold Member

    Yes.
     
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