lim ( (3x^2 +4x -5) ÷ (6x^2 +3x +1) )
any polinomial, at x approaching to infinity,behaves like the leading term.
in this case, for latge x's, the ratio would approach, then, to
3X^2/6X^2 , which is 3/6=0.5
Thus, 0.5 is the answer