Approximations with Taylor polynomialsa.

Chapter 7, Problem 40E

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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.

\(\sqrt[3]{126}\)

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.

\(\sqrt[3]{126}\)

ANSWER:

Solution 40EStep 1:A Taylor series of function f(x) at a is defined as :-Taking Finding Taylor polynomial of with and centered at a, we get To approximate , we take

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