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2. f(x) = sin(3x), a = 0, n = 4, T4(x) = |R4(x)| ≤ -≤x≤

2. f(x) = sin(3x), a = 0, n = 4, T4(x) = |R4(x)| ≤ -≤x≤

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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given interval. Round your accuracy estimation correct to three significant digits. Taylor's Inequality If f(n+1)(x)| ≤ M for |x-al ≤d, then the remainder R₁(x) of the Taylor series satisfies the inequality for Ix-al ≤d. 1. f(x)=√x, a = 1, n = 2, T₂(x) = |R₂(x)| ≤ |R₂(x)| ≤ T4(x) = |R4(x)| ≤ M (n+1)! ·|x -a/2+1 2. f(x) = sin(3x), a = 0, n=4, -≤x≤!!! 0.75 ≤x≤ 1.25
Transcribed Image Text:given interval. Round your accuracy estimation correct to three significant digits. Taylor's Inequality If f(n+1)(x)| ≤ M for |x-al ≤d, then the remainder R₁(x) of the Taylor series satisfies the inequality for Ix-al ≤d. 1. f(x)=√x, a = 1, n = 2, T₂(x) = |R₂(x)| ≤ |R₂(x)| ≤ T4(x) = |R4(x)| ≤ M (n+1)! ·|x -a/2+1 2. f(x) = sin(3x), a = 0, n=4, -≤x≤!!! 0.75 ≤x≤ 1.25
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