Question: Let g(x) = (x 2 - 2)/(x - 2). a. Make a table of the values of g at the points x = 1.4, 1.41,

Let g(x) = (x² - 2)/(x - √2).

a. Make a table of the values of g at the points x = 1.4, 1.41, 1.414, and so on through successive decimal approximations of 22. Estimate lim_x→√2 g(x).

b. Support your conclusion in part (a) by graphing g near c = 22 and using Zoom and Trace to estimate y-values on the graph as x→√2.

c. Find lim_x→√2 g(x) algebraically.

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