Let $f ( x , y ) = \left\{ \begin{array} { l l }
\frac { x ^ { 4 } - y ^ { 4 } } { x ^ { 2 } + y ^ { 2 } } & \text { if } ( x , y ) \neq ( 0,0 ) \
0 & \text { if } ( x , y ) = ( 0,0 )
\end{array} \right.$ Where is $f$ continuous?

Question

Let $f ( x , y ) = \left\{ \begin{array} { l l } 
\frac { x ^ { 4 } - y ^ { 4 } } { x ^ { 2 } + y ^ { 2 } } & \text { if } ( x , y ) \neq ( 0,0 ) \
0 & \text { if } ( x , y ) = ( 0,0 )
\end{array} \right.$ Where is $f$ continuous?

Quizplus · Accepted Answer

The Answer of Let $f ( x , y ) = \left\{ \begin{array} { l l } 
\frac { x ^ { 4 } - y ^ { 4 } } { x ^ { 2 } + y ^ { 2 } } & \text { if } ( x , y ) \neq ( 0,0 ) \
0 & \text { if } ( x , y ) = ( 0,0 )
\end{array} \right.$ Where is $f$ continuous?

Let Where Is fff Continuous

Let Where Is $f$ Continuous