Need an answer with complete solution. lim x^3/ (2x-1)^2 as x approaches infinity?

limit x=>infinity of x^3/(2x-1)^2=infinity because the degree on the top is 3 (because of x^3) while the degree on the bottom is only 2 (because of the 4x^2 that is in the denominator after expansion). And since the top degree is larger than the bottom degree the limit goes to infinity.