Consider the following table of values of f(r) = e". 0.0 0.2 0.6 f(1) 1.0 1.22140 1.82212 (a) Approximate f(0.5) using the given data and the Newton forward divided difference formula. (b) Find the...

Numerical analysis

Extracted text: Consider the following table of values of f(r) = e". 0.0 0.2 0.6 f(1) 1.0 1.22140 1.82212 (a) Approximate f(0.5) using the given data and the Newton forward divided difference formula. (b) Find the best upper bound for the error of the approximation in (a).