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-

Tinku Tara June 4, 2023 Differentiation 0 Comments

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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