limx→∞ [(x^2+5)^(1/2)]/[(27x^3-1)^(1/3)]

问题描述:

limx→∞ [(x^2+5)^(1/2)]/[(27x^3-1)^(1/3)]

= limx→∞ [(1+5/x^2)^(1/2)]/(27 -1/x^3)]^3
=(1+0)^1/2 /(27-0)^(1/3)
=1/3