lim(x→0)lncos2x/lncos3x

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/11 10:12:45

lim(x→0)lncos2x/lncos3x
用等价无穷小量求

lim(x→0)lncos2x/lncos3x
=lim(x→0)ln(1+cos2x-1)/ln(1+cos3x-1)
=lim(x→0) (cos2x-1)(cos3x-1)
=lim(x→0) (2x)^2/(3x)^2
=4/9

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