Limit Definition of the Derivative
If $$ f(x) = \frac{1}{x} $$, then
$$ \lim_{x \to 1} \frac{f(x) - f(1)}{x - 1} $$
is
A
$$ -1 $$
B
$$ 1 $$
C
nonexistent
D
$$ 0 $$
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