Question

(25 pts) Richardson Extrapolation: Consider the function, f(x) 1 sin Compute f'(0.25) using the centered difference approximation, f (xh) f(x h) +O(h2) f'(x) 2 h and using Richardson extrapolation with h 0.01 and h 0.005, respectively

Answer 1

Consider the function (0.25)