Let be a polynomial of degree with roots , ,

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let

f(x)

be a polynomial of degree

4

with roots

1

2

3

4

and leading coefficient

1

, and let

g(x)

be a polynomial of degree

4

with roots

1

\frac{1}{2}

\frac{1}{3}

\frac{1}{4}

and leading coefficient

1

. Then

\displaystyle \lim_{x\to1}\frac{f(x)}{g(x)}

equals (1)

\frac{1}{24}

(2)

-24

(3)

\frac{1}{12}

(4)

-\frac{1}{12}