Solution Found!
Answer: Approximations with Taylor polynomialsa. Use the
Chapter 7, Problem 24E(choose chapter or problem)
QUESTION:
Approximations with Taylor polynomials
a. Use the given Taylor polynomial \(p_{2}\) to approximate the given quantity.
b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.
Approximate In 1.06 using f(x) = In (1 + x) and \(p_{2}(x)=x-x^{2} / 2\).
Questions & Answers
QUESTION:
Approximations with Taylor polynomials
a. Use the given Taylor polynomial \(p_{2}\) to approximate the given quantity.
b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.
Approximate In 1.06 using f(x) = In (1 + x) and \(p_{2}(x)=x-x^{2} / 2\).
ANSWER:Solution 24E
Step 1:
Given
To approximate , we use