JEE Math Practice Question
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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