Evaluate the left-hand and right-hand limits of the following function at \( x=1 \) : \[ f(x)=\l...

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Evaluate the left-hand and right-hand limits of the following function at \( x=1 \) :
\[
f(x)=\left\{\begin{array}{ccc}
5 x-4, & \text { if } & 0x \leq 1 \\
4 x^{2}-3 x, & \text { if } & 1x2
\end{array}\right.
\]
Does \( \lim _{x \rightarrow 1} f(x) \) exist?
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