Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    User Avatar
    Science Advisor
    Homework Helper

    Yes, that's right.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook