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Approximations with Taylor polynomialsa.
Chapter 7, Problem 40E(choose chapter or problem)
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