Question 843978
Divide numerator and denominator by {{{x^2}}} and take the limit as x goes to {{{infinity}}}
{{{y=lim(x->infinity,(2+6/x-8/x^2)/(1-4/x-12/x^2))=(2+0-0)/(1-0-0)=2}}}
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{{{drawing(300,300,-10,16,-13,13,grid(1),green(line(-20,2,20,2)),graph(300,300,-10,16,-13,13,(2x^2+6x-8) / (x^2-4x-12)))}}}