Question
Evaluate $\lim _{x \rightarrow 3} \frac{\sqrt{2 x+3}}{x+3}$

Answer

$\lim _{x \rightarrow 3} \frac{\sqrt{2 x+3}}{x+3}$
$\begin{array}{l}=\frac{\sqrt{2 \cdot 3+3}}{3+3} \\ =\frac{\sqrt{9}}{6} \\ =\frac{3}{6}=\frac{1}{2} .\end{array}$

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