Verify that the given choice of n in the remainder estimate |R,l S M -(x - a)" +1, where M is the maximum value of Ifn + 1)(z)l on the interval between a and the indicated point (n + 1)! 1 yields IR,I S 1,000 Find the value of the Taylor polynomial P, of f at the indicated point. sin(6); a = 2, n = 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 74E
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Verify that the given choice of n in the remainder estimate |R,I s
M
-(x - a)"
1, where M is the maximum value of Ifn + 1)(z)| on the interval between a and the indicated point,
(n + 1)!
yields |R,I S
Find the value of the Taylor polynomial p, of f at the indicated point.
1,000
sin(6); a = 2n, n = 5
Transcribed Image Text:Verify that the given choice of n in the remainder estimate |R,I s M -(x - a)" 1, where M is the maximum value of Ifn + 1)(z)| on the interval between a and the indicated point, (n + 1)! yields |R,I S Find the value of the Taylor polynomial p, of f at the indicated point. 1,000 sin(6); a = 2n, n = 5
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