高等数学,求极限,要有过程

2025-05-09 20:22:41
推荐回答(2个)
回答1:

回答2:

(1)原式=lim(x→0)[(e^x-1-x)/x(e^x-1)]
=lim(x→0)[x²/2+ο(x²)]/x²
=1/2
(2)原式=lim(x→0+)(1/x)^x
=lim(x→0+)1/x^x
=1
(3)原式=lim(x→0)[x³/6-x³/3+ο(x³)]/(x³/3)
=lim(x→0)[-x³/6+ο(x³)]/(x³/3)
=-1/2