JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-34
question_answer
Let P(x) be a polynomial of degree 4 having extremumat 1,2 and Lim \[\underset{x\to 0}{\mathop{Lim}}\,\left( 1+\frac{P(x)}{{{x}^{2}}} \right)=2\] then Pis equal to
A) 0
B) 1
C) 2
D) 3
Correct Answer:
A
Solution :
\[P(x)=\left( \frac{{{x}^{4}}}{4}-{{x}^{3}}+{{x}^{2}} \right)\] So, \[p(2)=0\]