حاصل $\underset{x\to ۹}{\mathop{\lim }}\,\frac{۴-\sqrt{۲x-۲}}{۳-\sqrt{x}}$ کدام است؟
$\underset{x\to 9}{\mathop{\lim }}\,\frac{4-\sqrt{2x-2}}{3-\sqrt{x}}=\frac{0}{0}\xrightarrow{HOP}\underset{x\to 9}{\mathop{\lim }}\,\frac{-\frac{1(2)}{2\sqrt{2x-2}}}{\frac{-1}{2\sqrt{x}}}=\frac{\frac{-2}{8}}{\frac{-1}{6}}=\frac{12}{8}=\frac{3}{2}$