Limits 1) Identify where each of the following graphs is discontinuous, using limits to support your answer. State whether the discontinuity is a jump, infinite, or removable discontinuity. 2 2 -8 -16 4 X 12 2 4 6 X NO 2 6 -4 -2 0 2 4 6 X2) Evaluate each limit, if it exists: (2 + x)2 -16 a) lim x-+2 x - 2 b) lim (3- x)2-9 X-46 x -6 49 - (5+ x)2 c) lim x-+2 x- 2 1 d) lim X x-3x-3 e) lim x*- 16 x42 x+2 f) lim- x2-1 x-lx- x2-3x+33) For the following: a) Sketch the graph of a function y = f(x) that satisfies all of the following conditions: lim f(x) = -oo and lim f(x) = too *+5 . lim f(x) = 2 and lim f(x) = 2 x-++00 x-4 00 . f(4) = 3 and f(6) =1 b) Write a possible equation for this function. Explain your choice