- #1
supercali
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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