The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 N -1 -2 -6 -4 -2 2 4 6 8 x-values -2 0 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 m(x) = x2 - 2x and n(x) = JX- 1- 1' find limm(x)n(x). Justify your answer and use correct limit notation in your work. (4 points) X-+2 Paragraph V T BISUX 2 X2 Q V