当x→1时,两无穷小1-x⼀1+x和1-根号x中哪一个是高阶的?

2025-04-14 12:31:30
推荐回答(1个)
回答1:

lim(x→1)[(1-x)/(1+x)]/(1-√x)
=lim(x→1)[(1-x)/(1+x)]·(1+√x)/(1-√x)(1+√x)
=lim(x→1)[(1+√x)/(1+x)]
=1
∴是等价无穷小