CUET PG 2024 — Mathematics PYQ

${\lim }_{x\to 0}\sqrt{\frac{1-\cos 2x}{x}}$

$={\lim }_{x\to 0}\sqrt{\frac{x-x+2{\sin }^{2}x}{x}}$

$={\lim }_{x\to 0}\frac{\sqrt{2}\sin x}{x}$

$={\lim }_{x\to 0}\sqrt{2}\times 1$

$=\sqrt{2}$