lim x->0 [(tanx-sinx)/(x-x*cos2x)]

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/04/27 23:13:22

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

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