Let g(x) = (x 2 - 2)/(x - 2). a. Make a table of the values of
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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 limx→√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 limx→√2 g(x) algebraically.
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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