Consider Where Is $f$ Continuous

question 238

Essay

Consider $f ( x , y ) = \left\{ \begin{array} { l l } \frac { x ^ { 4 } - y ^ { 4 } } { x ^ { 2 } + y ^ { 2 } } & \text { if } ( x , y ) \neq ( 0,0 ) \\0.1 & \text { if } ( x , y ) = ( 0,0 )\end{array} \right.$ Where is $f$ continuous?

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