Epsilon - delta proof?

  • Thread starter Mattofix
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  • #1
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Homework Statement



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.


The Attempt at a Solution

 

Answers and Replies

  • #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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