Solved: Approximations with Taylor polynomialsa.

Chapter 7, Problem 34E

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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.

cos (-0.2)

Questions & Answers

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.

cos (-0.2)

ANSWER:

Solution 34E

Step 1:

The taylor polynomial of  is generally given by

Here

Let

At the taylor polynomial is given by

Therefore the taylor series at n=3 is

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