Question

Solve
$\underset{x\to 4}{lim}\frac{2-\sqrt{x}}{4-x}$

Answer 1

(2) $\underset{x\to 4}{lim}\frac{2-\sqrt{x}}{4-x}$

$\underset{x\to 4}{lim}+\frac{1}{2\sqrt{x}(+1)}$

$\Rightarrow \frac{1}{2\sqrt{4}}$

$\Rightarrow \frac{1}{2\times 2}=\frac{1}{4}$