求这两个极限,谢谢

2025-05-18 11:09:36
推荐回答(1个)
回答1:

lim(x->∞) (x-1)(x-2)(x-3)/(1-4x)^3

=lim(x->∞) (1-1/x)(1-2/x)(1-3/x)/(1/x-4)^3
=(1*1*1)/(-4)^3
=-1/64
lim(x->∞) [2x/(3-x)-2/(3x^2)]
=lim(x->∞) [2/(3/x-1)-2/(3x^2)]
=2/(-1)-0
=-2