Calculus (3rd Edition)

$$6$$
Given $$\lim _{(x, y) \rightarrow(1,-3)}\left(x y+y^{2}\right)$$ Since $\left(x y+y^{2}\right)$ is a continuous function, then \begin{align*} \lim _{(x, y) \rightarrow(1,-3)}\left(x y+y^{2}\right)&=\lim _{(x, y) \rightarrow(1,-3)}\left((-3)+(-3)^{2}\right)\\ &=6 \end{align*}