Prove that : \[ \lim _{x \rightarrow 0^{+}} \frac{x}{|x|}=1 \] (ii)...

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Prove that :
\[
\lim _{x \rightarrow 0^{+}} \frac{x}{|x|}=1
\]
(ii) \( \lim _{x \rightarrow 0^{-}} \frac{x}{|x|}=-1 \).
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