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

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

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

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