JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

Let

f(x)

be a polynomial of degree 4 having extreme values at

x=1

and

x=2

. If

\lim _{x \rightarrow 0}\left(\frac{f(x)}{x^2}+1\right)=3

then

f(-1)

is equal to

View answer and explanation

Correct option: D

\frac{9}{2}

Option D (

\frac{9}{2}

) is correct because after finding the polynomial f(x) using the given conditions, f(-1) evaluates to

\frac{9}{2}

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