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Limit Definition of the Derivative

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If $$ f(x) = \frac{1}{x} $$, then $$ \lim_{x \to 1} \frac{f(x) - f(1)}{x - 1} = $$

A

$$ 1 $$

B

$$ -1 $$

C

nonexistent

D

$$ 0 $$

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