lim->0(tanx-x)\(x-sinx)

分类: 作业答案 • 2021-12-03 13:07:59

问题描述：

答

lim->0(tanx-x)\(x-sinx)
=lim (sec²x-1)/(1-cosx)
=lim(1-cos²x)/(1-cosx) lim1/cos²x
=lim(1-cos²x)/(1-cosx)
=lim(2sinxcosx)/(sinx)
=lim 2cosx
=2