JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

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}

and

\frac{1}{4}

with leading coefficient 1. Then,

\lim \limits_{{x \rightarrow 1}} \frac{f(x)}{g(x)}

equals

View answer and explanation

Correct option: B

-24

Option B (-24) is correct because the limit can be evaluated by factoring out (x-1) from both polynomials and then substituting x=1.

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