Question 1067302
Since the degree of both {{{red(3)*x^2+10x+8}}} and{{{green(1)*x^2-2x-8}}} is the same, {{{2}}} ,
{{{lim(x->infinity, (red(3)*x^2+10x+8)/(green(1)*x^2-2x-8))= red(3)/green(1)=3}}}
There is a horizontal asymptote, whose y-value is the quotient of the leading coefficients, {{{red(3)/green(1)=3}}} .
The asymptote is {{{highlight(y=3)}}} .