Answer
$4$
Work Step by Step
Given $\lim_{x\to 0}\frac{4-g(x)}{x}=1$, we have $\lim_{x\to 0}(4-g(x))=1\times\lim_{x\to 0}x=0$, thus we have
$\lim_{x\to 0}g(x)=4$
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