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Multivariable limit

  1. Oct 30, 2009 #1
    lim (x^2-4y^2)/(x+2y) as (x,y)->(-2,1)
    Does this limit go to -4 or DNE since it is undefined all along x+2y?
     
  2. jcsd
  3. Oct 31, 2009 #2

    HallsofIvy

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    It Does Not Exist.
     
  4. Nov 1, 2009 #3

    arildno

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    Please note that you may write this as:
    [tex]\frac{x^{2}-4y^{2}}{x+2y}=\frac{(x-2y)(x+2y)}{x+2y}=x-2y,x\neq{-}2y[/tex]
     
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