Evaluate the following limits : \[ \operatorname{Lt}_{x \rightarrow \sqrt{3}} \frac{x^{4}-9}{x^{...

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Evaluate the following
limits :
\[
\operatorname{Lt}_{x \rightarrow \sqrt{3}} \frac{x^{4}-9}{x^{2}+4 \sqrt{3} x-15} .
\]
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