Consider the function 22 -6x+8 f(2) = x-2 if a + 2 if æ = 2. a We want to define a such that the function f is continuous for all e. a) The definition of the function f for a #2 can be simplified. After simplication, we have f(x) = for æ + 2. b) Compute the following limit. lim f(x) = c) For which value of a do we have that f is continuous for all æ? Answer: a =

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