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Calculating Limit of Function – A quotient of functions with square roots – Exercise 5921

Evaluate the following limit:

$\lim _ { x \rightarrow 2} \frac{\sqrt{3+x+x^2}-\sqrt{9-2x+x^2}}{x^2-3x+2}$

\lim _ { x \rightarrow 2} \frac{\sqrt{3+x+x^2}-\sqrt{9-2x+x^2}}{x^2-3x+2}=\frac{1}{2}

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