limx→0 arcsin(x⼀根号(1-x^2))⼀ln(1-x)

2025-06-20 15:03:07
推荐回答(1个)
回答1:

lim(x→0) arcsin(x/√(1-x^2))/ln(1-x)
= lim(x→0) (x/√(1-x^2))/(-x) 等阶无穷小代换
= lim(x→0) -(1/√(1-x^2))
= -1