Estimate In 1.08 using the linearization L(x) of f (x) = In(x) at a = 1. (Use decimal notation. Give your answer to two decimal places.) L(1.08) 2 Find the actual value of In(1.08). (Use decimal notation. Give your answer to five decimal places.) In(1.08) = Calculate the percentage error of Linear Approximation. (Use decimal notation. Give your answer to two decimal places.) Percentage error = %

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
Question
Estimate In 1.08 using the linearization L(x) of f (x) = In(x) at a = 1.
(Use decimal notation. Give your answer to two decimal places.)
L(1.08) 2
Find the actual value of In(1.08).
(Use decimal notation. Give your answer to five decimal places.)
In(1.08) =
Calculate the percentage error of Linear Approximation.
(Use decimal notation. Give your answer to two decimal places.)
Percentage error =
%
Transcribed Image Text:Estimate In 1.08 using the linearization L(x) of f (x) = In(x) at a = 1. (Use decimal notation. Give your answer to two decimal places.) L(1.08) 2 Find the actual value of In(1.08). (Use decimal notation. Give your answer to five decimal places.) In(1.08) = Calculate the percentage error of Linear Approximation. (Use decimal notation. Give your answer to two decimal places.) Percentage error = %
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