Solved: By considering different paths of approach, show

Chapter , Problem 16PE

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By considering different paths of approach, show that the limits in Exercises 15 and 16 do not exist.

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

$x y \neq 0$

Equation Transcription:

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

$xy\ne{}0$

Text Transcription:

lim _xy right arrow (0, 0) x^2 +y^2 /xy

xy neq 0

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