4. (20 pts pts.) Compare Growth Rates. In each of the following situations, indicate whether f=O(g) ) or f=(g), or both (in which case f=(g) ). Note that if you show that f=o(g), then it implies that f=O(g) and f=(g). Similarly, if you show that g=o(f), then it implies that f=(g) and f=O(g), Hint: you might find the fact that lim2nn=0 useful. Otherwise, you can solve all the problems without any complicated limit calculations (i.e. you don't need to use L'Hopital's rule)