$[4/12$ Points$]$

SCalcET$9$

$14\mathrm{.}2\mathrm{.}032.$MI$.$SA$.$

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Tutorial Exercise

Find the limit$,$ if it exists.

$\underset{(x,y)(0,0)}{lim}\frac{xy}{\sqrt[\phantom{2}]{x^2{y}^2}}$

Step $1$

To examine $\underset{(x,y)(0,0)}{lim}\frac{xy}{\sqrt[\phantom{2}]{x^2{y}^2}},$ first approach $(0,0)$ along the $x-$axis.

On this path, all points have $y=0.$