一道极限题目,难道不识别align*环境?
\begin{align*}&\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}\end{align*}
\begin{align*}&\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}\end{align*}