Let ƒ(x) be a polynomial of degree 5 such that x = ±1 are its critical points. If lim x → 0 (2 + (f(x))/(x³)) = 4, then which one of the following is not true?

(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.

Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 7 Jan, Evening shift · Q2652

JEE Main 20207 Jan, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

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?

JEE Main 2020 · 7 Jan, Evening shift · Q2652

JEE Main 20207 Jan, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

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?