Question

高等数学，微积分:x趋于0时，判断下列函数是几阶无穷小

如图

Answer 1

这些题目都是通过设未知数求解，运用各种等价无穷小的知识，希望对你有帮助

Answer 2

x->0
(1)
sin2x= 2x +o(x)
x^4+sin2x =2x +o(x)
阶数=1
(2)
√[x(1-x)] = √x +o(√x)
阶数=1/2
(3)
(2/π)cos[(π/2)(1-x) ]
=(2/π)sin[(π/2)x]
=x+o(x)
阶数=1
(4)
2x.cosx .(tanx)^(2/3)
=2x^(5/3) +o(x^(5/3))
阶数=5/3
(5)
cscx -cotx
=1/sinx - cosx/sinx
=(1-cosx)/sinx
=(1/2)x +o(x)
阶数=1