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Epsilon - delta proof?

  1. Feb 10, 2008 #1
    1. The problem statement, all variables and given/known data

    i have a couple of questions to anser and they start 'Give epsilon - delta proofs that the following functions are continuous at the indicated points.'

    im guessing its not going to be too hard but what is the name of this epsilon - delta proof so i can search for and learn about it.

    3. The attempt at a solution
  2. jcsd
  3. Feb 10, 2008 #2
    It is just one of the definitions of Continuity.

    A fuction f is continuous at Xo if

    For each [tex]\epsilon > 0[/tex] there exists [tex]\delta[/tex] such that

    |X-Xo|<[tex]\delta[/tex] Implies |f(X)-f(Xo)|<[tex]\epsilon[/tex]

    For all X,Xo belonging to Domain of f
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