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Epsilon-delta for a continuous function

  1. Nov 26, 2005 #1
    The function f is continuous at a E R.

    Let f:D->R and D be a subset of R.
    The function f is continuous at a E D if for every epsilon > 0 there exists a delta > 0 so that if |x-a|< delta and x E D then: |f(x)-f(a)|< epsilon.

    Can someone check this for me?
  2. jcsd
  3. Nov 26, 2005 #2
    that looks like the definition of continuity, is that all you wanted to know?
  4. Nov 26, 2005 #3


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    Yes, that's right.
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