Question 42
Let $p(x)$ be the polynomial of degree $4$ with roots $1, 2, 3, 4$ and leading coefficient $1$. Let $q(x)$ be the polynomial of degree $4$ with roots $1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}$ and leading coefficient $1$. Find $\lim_{x \rightarrow 1} \frac{p(x)}{q(x)}$.