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Evaluate the following limits: \[ \lim _{x \rightarrow \sqrt{6}} \f...
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Evaluate the following limits:
\[
\lim _{x \rightarrow \sqrt{6}} \frac{\sqrt{5+2 x}-(\sqrt{3}+\sqrt{2})}{x^{2}-6}
\]
\[
\lim _{x \rightarrow \sqrt{6}} \frac{\sqrt{5+2 x}-(\sqrt{3}+\sqrt{2})}{x^{2}-6}
\]