Let f(x) be a polynomial function such that f(x) + f'(x) + f''(x) = x⁵ + 64. Then, the value of lim x → 1 (f(x))/(x - 1) is equal to:

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jun, Morning shift · Q4240

JEE Main 202225 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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:

JEE Main 2022 · 25 Jun, Morning shift · Q4240

JEE Main 202225 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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: