JEE Math Practice Question
Let ƒ(x) be a polynomial of degree 5 such that x = ±1 are its critical points. If $$\mathop {\lim }\limits_{x \to 0} \left( {2 + {{f\left( x \right)} \over {{x^3}}}} \right) = 4$$, then which one of the following is not true?
- A.ƒ(1) - 4ƒ(-1) = 4.
- B.x = 1 is a point of minima and x = -1 is a point of maxima of ƒ.
- C.x = 1 is a point of maxima and x = -1 is a point of minimum of ƒ.
- D.ƒ is an odd function.
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