Find a bound on the magnitude of the error if we approximate √2 using the Taylor approximation of degree three for x = 0. Round your answer to three decimal places. Error bound = i 0.023 + x about

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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Find a bound on the magnitude of the error if we approximate √2 using the Taylor approximation of degree three for √1 + x about
x = 0.
Round your answer to three decimal places.
Error bound
= i 0.023
Transcribed Image Text:Find a bound on the magnitude of the error if we approximate √2 using the Taylor approximation of degree three for √1 + x about x = 0. Round your answer to three decimal places. Error bound = i 0.023
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