Let g(x) = {x if x < 12 if x = 12−x2 if 1 < x ≤ 2 x−2 if x > 2. (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.) (i) limx→1−g(x) (ii) limx→1+g(x) (iii) g(1) (iv) limx→2−g(x) (v) limx→2+g(x) (vi) limx→2 g(x) (b) Sketch the graph of g.