"\\lim\\limits_{(x;y)\\to (0;0)}\\frac{4x^2y}{4x^4+y^2}=[y=x^2]=\\\\=\\lim\\limits_{x\\to 0}\\frac{4x^2x^2}{4x^4+x^4}=\\frac{4}{5}\\ne0=f(0,0)"
Therefore the function "f(x,y)" is not continuous at ( 0,0).
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