已知当x→0时,x-sinx与ax^3是等价无穷小,求a

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/08 15:09:11
已知当x→0时,x-sinx与ax^3是等价无穷小,求a已知当x→0时,x-sinx与ax^3是等价无穷小,求a已知当x→0时,x-sinx与ax^3是等价无穷小,求alim(x→0)(x-sinx)

已知当x→0时,x-sinx与ax^3是等价无穷小,求a
已知当x→0时,x-sinx与ax^3是等价无穷小,求a

已知当x→0时,x-sinx与ax^3是等价无穷小,求a
lim(x→0) (x-sinx)/(ax^3)
=lim(x→0) (1-cosx)/(3ax^2)
=lim(x→0) (x^2/2)/(3ax^2)
=1/(6a)
=1
a=1/6