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极限证题例一

\[求\lim_{x \to 0} \frac{1-cosx}{x^{2} } \]\[\because 1-cosx = sin^{2}x \]\[\therefore \lim_{x \to 0} \frac{1-cosx}{x^{2} } \]\[\Rightarrow \lim_{x \to 0} \frac{sin^{2}x}{x^{2} } \]\[分子分母同时除以2 \Rightarrow \lim_{x \to 0}