Find T5(x), the degree 5 Taylor polynomial of the function f(x)=cos(x) at a=0. a.) T5(x)= b.) Find all values of x for which this approximation is within 0.00261 of the right answer. Assume for simplicity that we limit ourselves to |x|≤1. |x|≤

Find T5(x), the degree 5 Taylor polynomial of the function f(x)=cos(x) at a=0. a.) T5(x)= b.) Find all values of x for which this approximation is within 0.00261 of the right answer. Assume for simplicity that we limit ourselves to |x|≤1. |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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Question

Find T₅(x), the degree 5 Taylor polynomial of the function f(x)=cos(x) at a=0.

a.) T₅(x)=

b.) Find all values of x for which this approximation is within 0.00261 of the right answer. Assume for simplicity that we limit ourselves to |x|≤1.

|x|≤

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