当x趋向于0时,x-x^2与x^2-x^3相比，哪一个是高阶无穷小

Question

当x趋向于0时,x-x^2与x^2-x^3相比，哪一个是高阶无穷小

Answer 1

lim<x→0>(x-x²)/(x²-x³)
=lim<x→0>[x(1-x)]/[x²(1-x)]
=lim<x→0>(1/x)
所以，x²-x³是高阶无穷小本回答被网友采纳