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

Limit, Continuity and Differentiability: JEE Main 2015 Mathematics question

JEE Main 2015 · Session, Shift 1 · Q2632

JEE Main 2015Session, Shift 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002

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 :