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JEE Math Practice Question

Let $$f(x)$$ be a polynomial of degree four having extreme values at $$x=1$$ and $$x=2$$. If $$\mathop {\lim }\limits_{x \to 0} \left[ {1 + {{f\left( x \right)} \over {{x^2}}}} \right] = 3$$, then f$$(2)$$ is equal to :

  1. A.$$0$$
  2. B.$$4$$
  3. C.$$-8$$
  4. D.$$-4$$

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