Approximations with Taylor polynomials

a. Approximate the given quantities using Taylor polynomials with n = 3.

b. Computer the absolute error in the approximation assuming the exact value is given by a calculator.

Solution 38E

Step 1:

Given that

Taylor polynomials with n = 3

The exact value is given by a calculator.

Step 2:

To find

a. Approximate the given quantities using Taylor polynomials with n = 3.

b. Computer the absolute error in the approximation assuming the exact value is given by a calculator.

Step 3:

Given f(x)=

Taylor approximation for degree n is given by