Problem

Let

f(x)

be polynomial of degree 4 with roots 1, 2, 3, 4 and leading coefficient 1 and

g(x)

be the polynomial of degree 4 with roots

1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}

with leading coefficient 1. Then,

\lim_{x \to 1} \frac{f(x)}{g(x)}

equals a.

\frac{1}{24}

b. -24 c.

\frac{1}{12}

-\frac{1}{12}