Solution Found!
Solved: Approximations with Taylor polynomialsa.
Chapter 7, Problem 34E(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.
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