QuestionDetermine the set of points at which the function is continuous. $$f(x, y)=\left\{\begin{array}{ll} \frac{x^{2} y^{3}}{2 x^{2}+y^{2}} & \text { if }(x, y) \neq(0,0) \\ 1 & \text { if }(x, y)=(0,0) \end{array}\right.$$ $\{(x, y) \mid x>0$ and $y>0\}$ $\{(x, y) \mid(x, y) \neq(0,0)\}$ $\{(x, y) \mid x \in \mathbb{R}$ and $y \neq 0\}$ $\{(x, y) \mid x \in \mathbb{R}$ and $y \in \mathbb{R}\}$ $\{(x, y) \mid x \cdot y \neq 0\}$