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JEE MAIN 2021
01-09-2021 S2
Question
Let $f(x)=x^6+2 x^4+x^3+2 x+3, x \in R$. Then the natural number $n$ for which $\lim _{x \rightarrow 1} \frac{x^n f(1)-f(x)}{x-1}=44$ is $\_\_\_\_$ .
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