So first of all, what's this limit? The limit as n approaches infinity of some polynomial where it's n to the kth power plus blah, blah, blah, blah, where all of these other terms have a lower degree. This is the highest degree term. So you have n to the k in the numerator and you have n to the k in the denominator. So the highest degrees are the same, the coefficients are 1. So this limit is 1. Another way you could do it, you could divide the numerator and the denominator by n to the k and you would get, this would be 1 plus 1 over n plus 1 over everything else would have a 1 over n in it.