Determine Whether Is Continuous At $( 0,0 )$

question 133

Essay

Determine whether $f ( x , y ) = \left\{ \begin{array} { l l } \frac { 3 x ^ { 2 } - 2 y ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } & \text { if } ( x , y ) \neq ( 0,0 ) \\0 & \text { if } ( x , y ) = ( 0,0 )\end{array} \right.$ is continuous at $( 0,0 )$ .

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