78 Show that the limit does not exist by considering the limitsas (x, y)(0, 0) along the

Chapter 13, Problem 8

(choose chapter or problem)

Show that the limit does not exist by considering the limits as $(x, y) \rightarrow(0,0)$ along the coordinate axes

(a) $\lim _{(x, y) \rightarrow(0,0)} \frac{x-y}{x^{2}+y^{2}}$

(b) $\lim _{(x, y) \rightarrow(0,0)} \frac{\cos x y}{x^{2}+y^{2}}$

Equation Transcription:

$\lim\limits_{{(x,y)} \rightarrow {(0,0)}}$ $\frac{x-y}{{x}^{2}+{y}^{2}}$
$\lim\limits_{{(x,y)} \rightarrow {(0,0)}}$ $\frac{cos\ xy}{{x}^{2}+{y}^{2}}$

Text Transcription:

lim (x,y)->(0,0) x-y/x^2+y^2

lim (x,y)->(0,0)) cos xy/x^2+y^2

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