# More multi limits

## Homework Statement

solve
$${\lim }\limits_{\scriptstyle x \to 0 \hfill \atop \scriptstyle y \to 0 \hfill} (xy\ln \left( {x^2 + y^2 } \right))$$

## Homework Equations

$$y_{1}=x$$
$$y_2=1/x$$

## The Attempt at a Solution

when using $$y_{1}=x$$ we get that the limit is zero
when using this $$y_{2}=1/x$$ we get that the limit is infinity
thus the limit does not ! exist.
i dont know if it is ok to use these 2 paths i some how have a feeling that the second one is wrong
thanks for the help