数学题在线解答

求极限

\lim_{x \rightarrow 0} \frac{\sin ^{2} x}{\sin 2 x^{2}}=\lim_{x \rightarrow 0} \frac{\sin ^{2} x}{x^2} ·\frac{2x^2}{\sin 2 x^{2}}·\frac{1}{2}=\frac{1}{2}