Question

please answer question 2 only, question1 is the information that might need for question 2

2. Define the divided difference f[xo,xi,'. . ,Tk] as the coefficient of rk in p in Q.1. Prove the following recurrence formula: f(ax1, 2,,X- f{X0, X1,**.,&k-1 f[xo, ,,Xk] 1. Let f a, b -» IR and ro, x1, , Tk be k + 1 distinct points in [a, b]. Show that there exists a unique polynomial pk of degree

Answer 1

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