Let f(x) be a polynomial of degree 4 having extreme values at x = 1 and x = 2. If lim x → 0 ((f(x))/(x²) + 1) = 3 then f(- 1) is equal to:

Limit, Continuity and Differentiability: JEE Main 2018 Mathematics question

JEE Main 2018 · 15 Apr, Evening shift · Q4225

JEE Main 201815 Apr, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

Let f(x) be a polynomial of degree

4

having extreme values at

x = 1

and

x = 2.

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

then f(

-

1) is equal to :