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\[
\lim_{x\to0^+}\cot x(\frac{1}{\sin x}-\frac{1}{x})
=\lim_{x\to0^+}\frac{x-\sin x}{x\sin x\tan x}
=\lim_{x\to0^+}\frac{\frac{1}{3!}x^3+o(x^3)}{x^3}\cos x
=\frac{1}{6}
\]
一道极限题目,难道不识别align*环境?
原文地址:http://www.cnblogs.com/yinjc/p/4797409.html