Let f(x) be a polynomial of degree … having extreme values at … and … If … then f(…1) is equal to :

Option A. … f(x) has extremum values at x = 1, and x = 2

Limits Continuity and Differentiability

JEE Main 2018 · 15 Apr, Evening shift · Q4225

MathematicsHard179×since 2002Q4225

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 :