$$\text { Use the graph of the greatest integer function } y = \lfloor x \mid \text { to find the limit. }$$
-$$\lim _ { x \rightarrow 8 ^ { + } } ( x - \lfloor x \rfloor )$$
A) 0
B) -16
C) 8
D) 16

Question

Quizplus · Accepted Answer

As $x$ approaches $8$ from the right side, $x$ will approach $8$ but the greatest integer function, $\lfloor x \rfloor$, will remain at $7$. Therefore, $x - \lfloor x \rfloor$ will approach $0$, giving the limit of $0$.

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$\text { Use the graph of the greatest integer function } y = \lfloor x \mid \text { to find the limit. }$