Question

当x趋近于0时，tan x－sinx是x的多少阶无穷小？

Answer 1

x->0
tanx = x+(1/3)x^3+o(x^3)
sinx = x-(1/6)x^3+o(x^3)
tanx -sinx =(1/2)x^3+o(x^3)
，tan x－sinx是 (3)阶无穷小