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Question

If $f(x) = {x^3} - {x^2}f'(1) + xf''(2) - f'''(3),x \in \mathbb{R}$, then

$2f(0) - f(1) + f(3) = f(2)$
$f(1) + f(2) + f(3) = f(0)$
$f(3) - f(2) = f(1)$
$3f(1) + f(2) = f(3)$

Solution

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