Question

$$\lim _ { x \rightarrow a } \frac { \sqrt { 4 x - 2 a } - \sqrt { 3 x - a } } { \sqrt { x } - \sqrt { a } }$$

Evaluate

$\lim_{x\to a}\frac{\sqrt{2\left(2x-a\right)}-\sqrt{3x-a}}{\sqrt{x}-\sqrt{a}}$

Differentiate w.r.t. a

$\frac{\mathrm{d}}{\mathrm{d}a}(\lim_{x\to a}\frac{\sqrt{2\left(2x-a\right)}-\sqrt{3x-a}}{\sqrt{x}-\sqrt{a}})$