Let \( f(x)=\left\{\begin{array}{cc}x & , 0 \leq x\frac{1}{2} \\ 0 & , x=\frac{1}{2} \\ x-1, & \...
Let \( f(x)=\left\{\begin{array}{cc}x & , 0 \leq x\frac{1}{2} \\ 0 & , x=\frac{1}{2} \\ x-1, & \frac{1}{2}x \leq 1\end{array}\right. \), show that \( \operatorname{Lt}_{x \rightarrow \frac{1}{2}} f(x) \) does not exist.
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