Question
Evaluate the following limits:
$\lim _{x \rightarrow 0}\left[\frac{\sqrt{6+x+x^2}-\sqrt{6}}{x}\right]$
$\lim _{x \rightarrow 0}\left[\frac{\sqrt{6+x+x^2}-\sqrt{6}}{x}\right]$
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$\lim _{x \rightarrow 0}\left[\frac{9^x-5^x}{4^x-1}\right]$