Answer
$$\frac{10}{3}$$
Work Step by Step
We have
$$
\lim _{x \rightarrow 4.3} \frac{1}{x-\lfloor x\rfloor }= \frac{1}{4.3-\lfloor 4.3\rfloor }=\frac{1}{4.3-4 }=\frac{1}{0.3 }=\frac{10}{3}.
$$
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