Prove that:
\[
\begin{array}{l}
\lim _{x \rightarrow 0} \frac{|x|}{...
Prove that:
\[
\begin{array}{l}
\lim _{x \rightarrow 0} \frac{|x|}{x} \text { does not exist } \\
\lim _{x \rightarrow 0} \frac{x}{|x|} \text { does not exist. }
\end{array}
\]
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