Question: Let h(x) = (x 2 - 2x - 3) / (x 2 - 4x + 3). a. Make a table of the values of h

Let h(x) = (x² - 2x - 3) / (x² - 4x + 3).

a. Make a table of the values of h at x = 2.9, 2.99, 2.999, and so on. Then estimate lim_x→3 h(x). What estimate do you arrive at if you evaluate h at x = 3.1, 3.01, 3.001,c instead?

b. Support your conclusions in part (a) by graphing h near c = 3 and using Zoom and Trace to estimate y-values on the graph as x→3.

c. Find lim_x→3 h(x) algebraically.

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a We can create a table of values of h at x 29 299 2999 and so on as follows x hx 29 011111111 299 0... View full answer

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