Answer: Approximations with Taylor polynomialsa.

Chapter 7, Problem 35E

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QUESTION:

Approximations with Taylor polynomials

a. Approximate the given quantities using Taylor polynomials with n = 3.

b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.

tan (-0.1)

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QUESTION:

Approximations with Taylor polynomials

a. Approximate the given quantities using Taylor polynomials with n = 3.

b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.

tan (-0.1)

ANSWER:

Solution 35EStep 1:The taylor polynomial of is generally given by Here Let At the taylor polynomial is given byTherefore the taylor series at n=3 is

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