Evaluate the following limits : \[ \operatorname{Lt}_{x \rightarrow 2}\left(\frac{1}{x-2}-\frac{...

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Evaluate the following
limits :
\[
\operatorname{Lt}_{x \rightarrow 2}\left(\frac{1}{x-2}-\frac{2(2 x-3)}{x^{3}-3 x^{2}+2 x}\right)
\]
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