lim(x→0)[(x-tanx)/x^2sinx](用等价无穷小代换)=lim(x→0)(x-tanx)/x^3(0/0,用洛必达法则)=lim(x→0)(1-sec^2x)/(3x^2)=lim(x→0)-tan^2x/(3x^2)(用等价无穷小代换)=lim(x→0)-x^2/(3x^2)=-1/3