Continuous extension Let for Is it possible to define ƒ(0,

Chapter , Problem 17PE

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Continuous extension Let \(f(x, y)=\left(x^{2}-y^{2}\right) /\left(x^{2}+y^{2}\right)\) for \((x, y) \neq(0,0)\). Is it possible to define \(f(0,0)\) in a way that makes f continuous at the origin? Why?

Equation Transcription:

Text Transcription:

f(x, y)=(x^2 -y^2 )/ (x^2 +y^2 )

(x, y) neq (0, 0)

f(0, 0)

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