lim <x→∞>(2x-1)^3*(3x-2)^2/(2x+1)^5,求详解，谢谢！

lim(x->∞) (2x-1)^3(3x-2)^2/(2x+1)^5 =lim(x->∞) x^3(2-1/x)^3 x^2(3-2/x)^2 / x^5(2+1/x)^5 =lim(x->∞)(2-1/x)^3(3-2/x)^2/ (2+1/x)^5 =2^3*3^2/2^5 =3^2/2^2 =9/4