Examine the following functions for continuity: \[ f(x)=\left\{\begin{array}{cc} \frac{x}{|x|}, ...
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0Examine the following functions for continuity:
\[
f(x)=\left\{\begin{array}{cc}
\frac{x}{|x|}, & x \neq 0 \\
0, & x=0
\end{array} \quad \text { at } x=0\right.
\]
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