The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f A N -1 -2 -3 -4 -2 2 A 8 x-values -2 -1 5 6 g(x) values 1 4 3 2 Limit values of g(x) lim g(x) = 5 lim g(x) = 0 lim g(x) = 2 lim g(x) = -2 X- -2 X-+0 X-5 X-+6 a. Use the graph of f and the table of g to determine lim 2f (x )2 - 3 according to limit theorems. (3 points) X-+6 f(g(x)) b. Find lim f(x) or explain why it does not exist. Use correct limit notation in your answer. (3 points) c. If f(x) = x2 - 2x and g(x) = , then find lim f(x)g(x). Justify your answer and use correct limit notation in your work. (4 points)