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oee [108]
3 years ago
6

What is the limit as x is approaching 0 of the absolute value of x

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0
Recall that, an absolute value expression is a piece-wise in effect, thus we'd check the single-sided limits,

\bf \lim\limits_{x\to 0}~|x|\implies 
\begin{cases}
\lim\limits_{x\to 0^-}~-x\\\\
\lim\limits_{x\to 0^+}~+x
\end{cases}\implies 
\begin{cases}
0\\\\
0
\end{cases}\implies \lim\limits_{x\to 0}~|x|=0
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