问题：求极限lim(1/x-2 – 4/x^2-4)
极限的运算法则
结论/结果
1/4
解答
\lim _{x \rightarrow 2}\left(\frac{1}{x-2}-\frac{4}{x^{2}-4}\right)=\lim _{x \rightarrow 2}\left(\frac{x-2}{x^{2}-4}\right)=\lim _{x \rightarrow 2}\left(\frac{1}{x+2}\right)=\frac{1}{4}
极限的运算法则
\lim _{x \rightarrow 2}\left(\frac{1}{x-2}-\frac{4}{x^{2}-4}\right)=\lim _{x \rightarrow 2}\left(\frac{x-2}{x^{2}-4}\right)=\lim _{x \rightarrow 2}\left(\frac{1}{x+2}\right)=\frac{1}{4}