lim(x→∞)(x^3+4x^2-5)/(2x^3-2x+1)=lim(x→∞)(x^3-x+0.5)/(2x^3-2x+1)+lim(x→∞)(4x^2+x-5.5)/(2x^3-2x+1)=1/2+lim(x→∞)(4+1/x-5.5/x^2)/(2x-2/x+1/x^2)=1/2