x→π/3lim (sinx-√3/2) / (x-π/3)换元,t=x-π/3,x=t+π/3t→0lim (sin(t+π/3)-√3/2) / t=lim ((1/2)sint+(√3/2)cost-√3/2) / t=(1/2)lim sint/t + (√3/2)lim (cost-1)/t根据重要的极限以及等价无穷小=1/2 * ...