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 What estimate do you arrive at if you evaluate h at x = 3.1, 3.01, 3.001, … 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
c. Find algebraically.
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