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