Question

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(Richardson Extrapolation Applied to Differentiation). (a) Suppose that N(h) is an approximation to M for every h > 0 and that M = N(h) + Kih? + Kh? + K3h3 +... ), and N ) for some constants K1, K2, K3, .... Use the values N(h), N to produce an O(h) approximation to M. (b) Recall that f(xo+h)-f(20) df (20) dc f(x) Use the formula you constructed in part (a) to construct an imation to df 20) (h) approx-

Answer 1

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