Evaluate $\lim\limits_{\large x\to a}\large\frac{\sqrt{a+2x}-\sqrt{3x}}{\sqrt{3a+x}-2\sqrt x}$, where $a\neq 0$

Question

$\begin{array}{1 1}(a)\;\large\frac{2}{\sqrt 3}\\(b)\;\large\frac{2}{3\sqrt 3}\\(c)\;2\\(d)\;\large\frac{3}{2}\end{array}$