Excel in math, science, and engineering

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A differentiable function \( f(x) \) satisfies \[ \lim _{ x\rightarrow 0 }{ \frac { f(3x-x^{ 2 }) - f(0) }{ x } } = \frac { 1 }{ 3 }. \] What is \( 27f'(0)? \)

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