limx趋于0 1/x(1/sinx-1/tanx)求解

还有别的方法吗？

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lim(x→0) 1/x(1/祥孙sinx-1/tanx)
=lim(x→0) 1/x(tanx-sinx)/(sinxtanx)
=lim(x→0) (tanx-sinx)/x^3
=lim(x→0) tanx(1-cosx)/x^3
=lim(x→0) (x*1/2x^2)/谨余链x^3
=1/毁宽2

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