Using $\displaystyle{ \lim\limits_{x \to -3} f(x) = -3 }$ and $\displaystyle{ \lim\limits_{x \to -3} g(x) = 7 }$, evaluate the following limits.

1. $\displaystyle{\lim\limits_{x \to -3} f(x) g(x) = }$
2. $\displaystyle{ \lim\limits_{x \to -3} \frac{f(x)}{g(x)} = }$