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$\lim _{x \rightarrow 1}[x]=$
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Verified Answer
The correct answer is:
Does not exist
$\lim _{x \rightarrow 1-}[x]=\lim _{h \rightarrow 0}[1-h]=\lim _{h \rightarrow 0} 0=0$
and $\lim _{x \rightarrow 1+}[x]=\lim _{h \rightarrow 0}[1+h]=\lim _{h \rightarrow 0} 1=1$
Hence limit does not exist.
and $\lim _{x \rightarrow 1+}[x]=\lim _{h \rightarrow 0}[1+h]=\lim _{h \rightarrow 0} 1=1$
Hence limit does not exist.
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