Suppose $f$ and $g$ are functions satisfying
• $\displaystyle{\lim_{x \to 6} f(x) = 0}$,
• $\displaystyle{\lim_{x \to 6} g(x) = 0}$, and
• $\displaystyle{\lim_{x \to 6} \frac{f(x)}{g(x)} = 3 }$.
What can be said about the relative sizes of $f(x)$ and $g(x)$ as $x$ approaches $6$? Select all that apply.