?For the following exercises, determine the region in which the function is continuous
Chapter 4, Problem 95(choose chapter or problem)
For the following exercises, determine the region in which the function is continuous. Explain your answer.
\(f(x, y)=\left\{\begin{array}{ll}
\frac{x^{2} y}{x^{2}+y^{2}} & \text { if }(x, y) \neq(0,0) \\
0 & \text { if }(x, y)=(0,0)
\end{array}\right\}\)
(Hint: Show that the function approaches different values along two different paths.)
Text Transcription:
f(x, y)=left.begin.array.ll
fracx^2y/x^2+y^2 & \text_if (x, y) neq(0,0)
0 & text { if }(x, y)=(0,0)
end.array.right
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer