3. Let: f(x) = In (1+x) a) Use four-digit rounding arithmetic to evaluate f(x) when x = 0.25. b) Replace the logarithmic function with its three nonzero terms of Maclaurin polynomial (show the process in obtaining the Maclaurin series expansion), and use three-digit rounding arithmetic to evaluate f(x) when x = 0.25. c) Compute for the relative error for part (a) and (b).
3. Let: f(x) = In (1+x) a) Use four-digit rounding arithmetic to evaluate f(x) when x = 0.25. b) Replace the logarithmic function with its three nonzero terms of Maclaurin polynomial (show the process in obtaining the Maclaurin series expansion), and use three-digit rounding arithmetic to evaluate f(x) when x = 0.25. c) Compute for the relative error for part (a) and (b).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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