What value of c (if any)makes the following function continuous at (0, 0)? $$f ( x , y ) = \left\{ \begin{array} { c c }
\frac { x ^ { 4 } - y ^ { 4 } } { x - y } & \text { if } ( x , y ) \neq ( 0,0 ) \
c & \text { otherwise }
\end{array} \right.$$

Question

What value of c (if any)makes the following function continuous at (0, 0)? $$f ( x , y ) = \left\{ \begin{array} { c c } 
\frac { x ^ { 4 } - y ^ { 4 } } { x - y } & \text { if } ( x , y ) \neq ( 0,0 ) \
c & \text { otherwise }
\end{array} \right.$$

Quizplus · Accepted Answer

The Answer of What value of c (if any)makes the following function continuous at (0, 0)? $$f ( x , y ) = \left\{ \begin{array} { c c } 
\frac { x ^ { 4 } - y ^ { 4 } } { x - y } & \text { if } ( x , y ) \neq ( 0,0 ) \
c & \text { otherwise }
\end{array} \right.$$

What Value of C (If Any)makes the Following Function Continuous