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 .

Solution 21E

Step 1:

Given To approximate , we use Squaring both sides, we get

Step 2:

Using in , we get Hence the approximate value of using taylor polynomial is .