Evaluate the following limits : \[ \operatorname{Lt}_{x \rightarrow \frac{1}{2}}\left(\frac{8 x-...

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Evaluate the following
limits :
\[
\operatorname{Lt}_{x \rightarrow \frac{1}{2}}\left(\frac{8 x-3}{2 x-1}-\frac{4 x^{2}+1}{4 x^{2}-1}\right)
\]
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