Evaluate the left hand limit and right hand limit of the following function at \( x=1 \) \[ f(x)...

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