Question

Lim x--->1 x-1/ abs value(x-1)

Answer 1

\[ \lim_{x \rightarrow 1^{+}} (x-1)/x-1)=1\]
\[ \lim_{x \rightarrow 1^{-}} (x-1)/-(x-1)=-1\]
\[ \lim_{x \rightarrow 1^{+}}f(x)\neq \lim_{x \rightarrow 1^{-}}f(x) \]
===>

\[ \lim_{x \rightarrow 1}f(x) dees \not exist.\]