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## Homework Statement

solve

[tex] {\lim }\limits_{\scriptstyle x \to 0 \hfill \atop

\scriptstyle y \to 0 \hfill} (xy\ln \left( {x^2 + y^2 } \right)) [/tex]

## Homework Equations

[tex]y_{1}=x[/tex]

[tex]y_2=1/x[/tex]

## The Attempt at a Solution

when using [tex]y_{1}=x[/tex] we get that the limit is zero

when using this [tex]y_{2}=1/x[/tex] we get that the limit is infinity

thus the limit does not ! exist.

i don't 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