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Suppose that M=N1(h) +k1h+k2h2+k3h3+... where the kjs do not depend on h.The following table of approximations to M was generated using Richardson Extrapolation, calculate the

Suppose that M=N1(h) +k1h+k2h2+k3h3+... where the kjs do not depend on h.The following table of approximations to M was generated using Richardson Extrapolation, calculate the missing entries (N1(h/2),N2(h), andN3(h/2)).

O(h) O(h^2) O(h^3) O(h^4)
h 2 ? 1.1333 1.2476
h/2 ? 1.1 ?
h/4 1.3 1.2
h/8 1.25

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