Let $f (x)$ be a twice-differentiable function and $f (0) = 2 .$ The evaluate: $(lim)_{x 0} \frac{2 f ( x ) - 3 f ( 2 x ) + f ( 4 x )}{x ^{2}}$

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Let

f (x)

be a twice-differentiable function and

f (0) = 2 .

The evaluate:

(lim)_{x 0} \frac{2 f ( x ) - 3 f ( 2 x ) + f ( 4 x )}{x ^{2}}

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Question Text

Let

f (x)

be a twice-differentiable function and

f (0) = 2 .

The evaluate:

(lim)_{x 0} \frac{2 f ( x ) - 3 f ( 2 x ) + f ( 4 x )}{x ^{2}}

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