Question: Determine if the following functions are continuous at \((0,0)\). Recall, a function is continuous at \((a, b)\) if \(f(a, b)=\lim _{(\alpha, j) \rightarrow d p i} f(x, y)\). Show proofs (like the squeeze theorem) and the necessary justifications you have for your answers.

1. \(f(x, y)=\left\{\begin{array}{cc}\frac{3 \sin (x) y^{2}}{6 x^{2}+2 y^{2}} & (x, y) \neq(0,0) \\ 0 & (x, y)=(0,0)\end{array}\right.\)
2. \(\quad f(x, y)=\left\{\begin{array}{cc}\frac{-12 x y}{2 x^{2}+3 y^{2}} & (x, y) \neq(0,0) \\ 0 & (x, y)=(0,0)\end{array}\right.\)

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document