Can you help with

all questions except question 2. (a)

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 6 -4 -2 0 2) Evaluate each limit, if it exists: a) lim (2 + x)2 -16 * -+2 x- 2 b) lim (3 - x)2- 9 x-+6 x - 6 () lim 49- (5+ x)2 * -+2 x - 2 1 3 d) lim x x+3x-3 e) lim x4 - 16 *2 x+2 x2- 1 f) lim - x-+1x3- x2- 3x +3 3) For the following: a) Sketch the graph of a function y = f(x) that satisfies all of the following conditions: x-+5+ . lim f(x) = -oo and lim f(x) = too X-5 lim f(x) = 2 and lim f(x) = 2 . f(4) =3 and f(6) = 1 b) Write a possible equation for this function. Explain your choice