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

来源：学生作业帮编辑：大师作文网作业帮分类：数学作业时间：2024/11/11 05:43:30

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

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

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