a. Use Taylor's formula with n= 2 to find the quadratic approximation of f(x) = (1 +x)^ at x= 0 (k a constant). b. If k = 4, for approximately what values of x in the interval [0,1] will the error in the quadratic approximation be less than 1/100?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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a. Use Taylor's formula with n=2 to find the quadratic approximation of f(x) = (1 +x)^ at x = 0 (k a constant).
b. If k = 4, for approximately what values of x in the interval [0,1] will the error in the quadratic approximation be less than 1/100?
Transcribed Image Text:a. Use Taylor's formula with n=2 to find the quadratic approximation of f(x) = (1 +x)^ at x = 0 (k a constant). b. If k = 4, for approximately what values of x in the interval [0,1] will the error in the quadratic approximation be less than 1/100?
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