If the symbol [ ] denotes the greatest integer function defined in this section, evaluate the following. (If an answer does not exist, enter DNE.) (a) Evaluate each limit. (i) lim [ x ] x--g+ -9 (ii) lim [ x ] X - -9 DNE lim x- -9.1 [ x ] -10 (b) If n is an integer, evaluate each limit. (i) lim [ x ] X-n n - 1 (ii) lim [ x ] x-ant n (c) For what values of a does lim [ x ] exist? X-a The limit exists for all integer values of a. The limit exists for all positive values of a. The limit exists for all non-integer values of a. The limit exists only for a = 0