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Limits Continuity and Differentiability question

2018 · 15 Apr · Shift 2 · Q41

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JEE Main
Mathematics
Limits Continuity and Differentiability
2018 · 15 Apr · Shift 2 · Q41

Limits Continuity and Differentiability question

2018 · 15 Apr · Shift 2 · Q41

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let f(x) be a polynomial of degree

4

having extreme values at

x = 1

and

x = 2.

If

\mathop {lim}\limits_{x \to 0} \left( {{{f\left( x \right)} \over {{x^2}}} + 1} \right) = 3

then f(

-

1) is equal to :

A
${9 \over 2}$
B
${5 \over 2}$
C
${3 \over 2}$
D
${1 \over 2}$

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