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The graph of fis shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 7 -1 -2 x-values
The graph of fis shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 7 -1 -2 x-values -2 0 5 6 g(x) values 1 4 3 2 Limit values of g(x) x -2 lim g(x) = 5 lim g(x) = 4 lim g(x) = 2 lim g(x) = -2 X-6 lim 21(x) 2 -3 a. Use the graph of f and the table of g to determine ex - 2 9(f(x)) according to limit theorems. (3 points) lim f(x) b. Find x-+0 or explain why it does not exist. Use correct limit notation in your answer. (3 points) lim (x) c. If m(x) = x - 3 and "(x) = VX-2-1, then find *-+30(x) Justify your answer and use correct limit notation in your work. (4 points)
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