Consider the function 12 -62+8 f(z) = if z # 2 z-2 if z - 2. We want to define a such that the function of is continuous for all . a) The definition of the function f for a / 2 can be simplified. After simplication, we have f (2) = for a / 2. b) Compute the following limit. lim f(z) - 2-2 c) For which value of a do we have that f is continuous for all z? Answer: a