Let p(x) be a polynomial of degree 4 having extremum at x = 1, 2 and \lim_{x\to0}(1+{p(x)}/x^2) = 2. Then, the value of p(2) is _____. [JEE Adv 2009 P2]

Application of Derivatives

Section: Mathematics

Question : 29 of 32

Marks: +1, -0

Let p(x) be a polynomial of degree 4 having extremum at x = 1, 2 and

lim

x→0

(1+

p(x)

) = 2. Then, the value of p(2) is _____.

[JEE Adv 2009 P2]

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