In Exercises 63 68, discuss the continuity of the function.fx, y sinx2 y2x2 y2 , x2 y21

Chapter 13, Problem 68

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In Exercises 63– 68, discuss the continuity of the function.

\(f(x, y)=\left\{\begin{array}{l}\frac{\sin \left(x^{2}-y^{2}\right)}{x^{2}-y^{2}}, \quad x^{2} \neq y^{2} \\1, \quad x^{2}=y^{2}\end{array}\right.\)

Text Transcription:

f(x, y)={sin (x^2 - y^2) / x^2 - y^2, x^2 neq y^2 over 1, x^2 = y^2

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