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Prove the multivariable does not exist?

  1. Oct 27, 2013 #1
    1. I know both dne but how can i prove it? Im not getting any solid answers? help please!

    (x,y) to (0,0)
    1. ((x^2)y+x(y^2))/((x^2)-(y^2))
    2. (x+y)/((x^2)+y+(y^2))


    2. 1. Simplified down to xy/(x-y)
    2. Simplified down to x/(x^2+y^2+y) + 1/((y+1)+x^2)
     
  2. jcsd
  3. Oct 27, 2013 #2

    Ray Vickson

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    What would need to happen in order for xy/(x-y) to have a limit as (x,y) → (0,0)? Does that happen in this case?

    So, your very first step is to make sure you understand what is meant by a function going to a limit---if you do not understand that you are defeated right from the start.
     
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