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Question Number 28949 by amit96 last updated on 02/Feb/18

xy((x^4 −y^4 )/(x^4 +y^4 ))  and 0 for origin  then funtion is  1.continuous  2.mixpartial are not equal at origin  3.limit at origin is 1

$${xy}\frac{{x}^{\mathrm{4}} −{y}^{\mathrm{4}} }{{x}^{\mathrm{4}} +{y}^{\mathrm{4}} }\:\:{and}\:\mathrm{0}\:{for}\:{origin} \\ $$$${then}\:{funtion}\:{is} \\ $$$$\mathrm{1}.{continuous} \\ $$$$\mathrm{2}.{mixpartial}\:{are}\:{not}\:{equal}\:{at}\:{origin} \\ $$$$\mathrm{3}.{limit}\:{at}\:{origin}\:{is}\:\mathrm{1} \\ $$

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