作业帮lim x->0 [(tanx-sinx)/(x-x*cos2x)]
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/27 17:26:36
![lim x->0 [(tanx-sinx)/(x-x*cos2x)]](/uploads/image/z/5615140-4-0.jpg?t=lim+x-%3E0+%5B%28tanx-sinx%29%2F%28x-x%2Acos2x%29%5D)
lim x->0 [(tanx-sinx)/(x-x*cos2x)]
lim x->0 [(tanx-sinx)/(x-x*cos2x)]
lim x->0 [(tanx-sinx)/(x-x*cos2x)]
lim x->0 [(tanx-sinx)/(x-x*cos2x)]
=lim x->0 [sinx(1-cosx)/cosx]/(x(1-cos2x)
=lim x->0 [sinx*2(sin(x/2))^2]/[cosx*x*2(sinx)^2]
=lim x->0 [x*2(x/2)^2]/(x*2x^2)
=1/4