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Limits Continuity and Differentiability question

2021 · 1 Sep · Shift 2 · Q39

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 1 Sep · Shift 2 · Q39

Limits Continuity and Differentiability question

2021 · 1 Sep · Shift 2 · Q39

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let

f(x) = {x^6} + 2{x^4} + {x^3} + 2x + 3

, x

\in

R. Then the natural number n for which

\mathop {\lim }\limits_{x \to 1} {{{x^n}f(1) - f(x)} \over {x - 1}} = 44

is

\underline{\hspace{2cm}}

.

Numerical answer

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