Respuesta :

LammettHash
Consider what happens along the line through the origin with [tex]x=y=z[/tex]. The limit reduces to

[tex]\displaystyle\lim_{(x,y,z)\to(0,0,0)}\frac{xy+3yz^2+4xz^2}{x^2+y^2+z^4}=\lim_{x\to0}\frac{x^2+7x^3}{2x^2+x^4}=\lim_{x\to0}\frac{1+7x}{2+x^2}[/tex]

but this limit does not exist.

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