QuestionCalculate the limit: $\lim _{x \rightarrow 0}\left(\frac{\sqrt{1-\cos 2 x}}{\sqrt{2} x}\right)$.

Studdy Solution
The limit of $\frac{\sin x}{x}$ as $x$ approaches $0$ is a well-known limit in calculus, and its value is $1$.
$$\lim{x \rightarrow0}\left(\frac{\sin x}{x}\right) =1$$So, the solution to the given limit problem is $1$.