define ƒ(0, 0) in a way that extends ƒ to be continuous at

Chapter 13, Problem 67E

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In Exercises 67 and 68, define ƒ(0, 0) in a way that extends ƒ to be continuous at the origin.

$f(x, y)=\ln \left(\frac{3 x^{2}-x^{2} y^{2}+3 y^{2}}{x^{2}+y^{2}}\right)$

Equation Transcription:

$f(x,y)=ln(\frac{{3x}^{2}-{x}^{2}{y}^{2}+3{y}^{2}}{{x}^{2}+{y}^{2}})$

Text Transcription:

ƒ(x, y) = ln (3x^2-x^2y^2 + 3y^2/x^2 + y^2)

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