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The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of / 2 -1 -2

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The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of / 2 -1 -2 -3 -6 -4 -2 2 x-values -2 -1 5(x) values Limit values of 80 x * 2 lim g(x) = 5 lim g(x) = 0 |lim g(x) = 2|lim g(x) = -2 x-+2 x-+5 lim 2f(x) -3 x-+5 f(g(x)) a. Use the graph of f and the table of g to determine according to limit theorems. (3 points) lim f(x) b. Find x-+5 or explain why it does not exist. Use correct limit notation in your answer. (3 points) f(x ) lim c. If fix) = 1 - x and g(X)= Wx+3-2,, then find *-+19(*) Justify your answer and use correct limit notation in your work. (4 points)

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