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Application of Derivatives question

2009 · Shift 2 · Q27

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PYQ Library
JEE Advanced
Mathematics
Application of Derivatives
2009 · Shift 2 · Q27

Application of Derivatives question

2009 · Shift 2 · Q27

JEE AdvancedMathematicsApplication of DerivativesNumerical+3 / −1

Let

p(x)

be a polynomial of degree

4

having extremum at

x = 1,2

and

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

. Then the value of

p (2)

is

Numerical answer

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