limx趋向于0(1-cos2/x)x/(tanx-sinx)怎么做

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limx趋向于0(1-cos2/x)x/(tanx-sinx)怎么做limx趋向于0(1-cos2/x)x/(tanx-sinx)怎么做limx趋向于0(1-cos2/x)x/(tanx-sinx)怎

limx趋向于0(1-cos2/x)x/(tanx-sinx)怎么做
limx趋向于0(1-cos2/x)x/(tanx-sinx)怎么做

limx趋向于0(1-cos2/x)x/(tanx-sinx)怎么做
limx趋向于0(1-cos2/x)x/(tanx-sinx)
=limx趋向于0(1-cos2/x)x/tanx(1-cosx)
=limx趋向于0【(x/2)²x/2】/x(x²/2)
=1/4 (4分之1)