Solved: Suppose that N1(h) is a formula that produces O(h) approximations to a number M

Chapter 4, Problem 14

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Suppose that N1(h) is a formula that produces O(h) approximations to a number M and that M = N1(h) + K1h + K2h2 + , for a collection of positive constants K1, K2, ... . Then N1(h), N1(h/2), N1(h/4), ... are all lower bounds for M. What can be said about the extrapolated approximations N2(h), N3(h), ...?

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