Approximations with Taylor polynomialsa. 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 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 Step 2:Now to approximate , we use Step 3:Using in , we get Hence the approximate value of using taylor polynomial is .