Consider the following function. f(x) = ²², a = 1, n = 2, 0.7 ≤x≤ 1.3 (a) Approximate f by a Taylor polynomial with degreen at the number a. T₂(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) * (x) when x lies in the given interval. (Round your answer to eight decimal places.) IR₂(x)| ≤[ S

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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Consider the following function.
f(x) = ², a = 1,
n = 2, 0.7 ≤ x ≤ 1.3
(a) Approximate f by a Taylor polynomial with degreen at the number a.
T₂(x) = [
(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round your answer to eight decimal places.)
|R₂(X)IS
Transcribed Image Text:Consider the following function. f(x) = ², a = 1, n = 2, 0.7 ≤ x ≤ 1.3 (a) Approximate f by a Taylor polynomial with degreen at the number a. T₂(x) = [ (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round your answer to eight decimal places.) |R₂(X)IS
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