Approximations with Taylor polynomials

a. Use the given Taylor polynomial p2 to approximate the given quantity.

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

Approximate using and p2(x) = 1 + x/3 − x2/9.

Solution 22EStep 1: Given To approximate , we use Step 2: Using in , we get Hence the approximate value of using taylor polynomial is .