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Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you approximate f(x) by T6(x), and if |x| < 1, what is the bound for your error of your estimate? (Hint: use the alternating series approximation.)

Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you approximate f(x) by T6(x), and if |x| < 1, what is the bound for your error of your estimate? (Hint: use the alternating series approximation.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How do i solve the attached taylor polynomial error question?

Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you approximate f(x) by T6 (x), and if |x| < 1, what is the bound for your error of your estimate? (Hint: use the alternating series approximation.)
Transcribed Image Text:Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you approximate f(x) by T6 (x), and if |x| < 1, what is the bound for your error of your estimate? (Hint: use the alternating series approximation.)
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