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 proof, 3-space help

  1. Apr 6, 2006 #1
    I am trying to show that a certain function, f(x) has a limit that approaches 1. Does anyone have any sites i can look at for epsilon delta proof for 3-space? I've saw the ones for two space, but they aren't really helping me out in this pickle..
    thanks.
     
  2. jcsd
  3. Apr 6, 2006 #2

    Tom Mattson

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    What's the problem? What have you tried?
     
  4. Apr 6, 2006 #3
    I think this is the one you're looking for.

    [tex]\lim_{(x,y)\rightarrow(x_0,y_0)}f(x,y)=L[/tex] if for each [itex]\epsilon[/itex]>0 there corresponds a [itex]\delta[/itex]>0 such that [tex]|f(x,y)-L|<\epsilon[/tex] whenever [tex]0<\sqrt{(x-x_0)^2+(y-y_0)^2}<\delta[/tex].
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook