Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = = Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.00194 of the right answer. Assume for simplicity that we limit ourselves to |x| ≤ 1. |x| ≤

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Find T5(x): Taylor polynomial of degree 5 of the function
f(x) = cos(x) at a = 0.
T5(x) =
=
Using the Taylor Remainder Theorem, find all values of x for
which this approximation is within 0.00194 of the right
answer. Assume for simplicity that we limit ourselves to
|x| ≤ 1.
|x ≤
Transcribed Image Text:Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = = Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.00194 of the right answer. Assume for simplicity that we limit ourselves to |x| ≤ 1. |x ≤
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