Slope of a tangent line a. Sketch a graph of y = 3x and

Chapter 2, Problem 54

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Slope of a tangent line a. Sketch a graph of y = 3x and carefully draw four secant lines connecting the points P10, 12 and Q1x, 3x2, for x = -2, -1, 1, and 2. b. Find the slope of the line that passes through P10, 12 and Q1x, 3x2, for x _ 0. c. Complete the table and make a conjecture about the value of lim xS0 3x - 1 x . x -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 3x _ 1 x

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