Consider the following function. f(x) = sin(x), a = pi/6, n = 4, 0 ≤ x ≤ pi/3 (a) Approximate f by a Taylor polynomial with degree n at the number a. T4(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when x lies in the given interval. (Round your answer to six decimal places.) |R4(x)| ≤

Consider the following function. f(x) = sin(x), a = pi/6, n = 4, 0 ≤ x ≤ pi/3 (a) Approximate f by a Taylor polynomial with degree n at the number a. T4(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when x lies in the given interval. (Round your answer to six decimal places.) |R4(x)| ≤

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 2E

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