find the values for A,B such that(adsbygoogle = window.adsbygoogle || []).push({});

Lim_{x->infinity}x*((x^{3}+x^{2}+ax)^{(1/3)}-(x^{3}-bx)^{(1/3)}) = 3

what i thought was

t=1/x

Lim_{t->0}1/t*((1/t^{3}+1/t^{2}+a/t)^{(1/3)}-(1/t^{3}-b/t)^{(1/3)}) = 3

Lim_{t->0}1/t*((1/t^{3}+1/t^{2}+a/t)^{(1/3)}-(1/t^{3}-b/t)^{(1/3)}) = 3

since here we have 0/0 i can use l'hopital's law, but it looks like its going to get really ugly whith too manu terms,

also how can i solve for both A and B when i have only one equation

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# Homework Help: Lim x->infinity

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