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 0.00053 of the right answer. Assume for simplicity that we limit ourselves to |x|≤1. |x|≤

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 0.00053 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

Section4.3: Zeros Of Polynomials

Problem 4E

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Question

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 0.00053 of the right answer. Assume for simplicity that we limit ourselves to |x|≤1.
|x|≤

Expert Solution