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Homework Help: Definition of limit

  1. Sep 16, 2005 #1
    Please I need help on this one.

    Use the [tex]([/tex] [tex]\varepsilon[/tex] ,[tex]\delta[/tex] [tex])[/tex] definition of limit to prove that

    lim [tex]([/tex]x+y/[tex]x^2[/tex]+[tex]y^2[/tex]+1[tex])[/tex]=0
    (x,y)[tex]\rightarrow[/tex](0,0)
     
    Last edited: Sep 16, 2005
  2. jcsd
  3. Sep 16, 2005 #2

    Hurkyl

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    Well, what have you done on this so far? Do you know of any similar problems that you do know how to do?

    By the way, I'm pretty sure you meant (x+y)/(x²+y²+1), not x+y/x²+y²+1.
     
  4. Sep 16, 2005 #3
    No Hurkyl,I havent done this kind of limit help me.And it is

    lim [tex]([/tex]x+y/[tex]x^2[/tex]+[tex]y^2[/tex]+1[tex])[/tex]=0
    (x,y)[tex]\rightarrow[/tex](0,0)
     
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