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Limits Continuity and Differentiability question

2022 · 25 Jun · Shift 1 · Q29

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 25 Jun · Shift 1 · Q29

Limits Continuity and Differentiability question

2022 · 25 Jun · Shift 1 · Q29

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let f(x) be a polynomial function such that

f(x) + f'(x) + f''(x) = {x^5} + 64

. Then, the value of

\mathop {\lim }\limits_{x \to 1} {{f(x)} \over {x - 1}}

is equal to:

A
$-$ 15
B
$-$ 60
C
60
D
15

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