Suppose that N\ (A) is a formula that produces O(h) approximations to a number M and

Chapter 4, Problem 14

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Suppose that N\ (A) is a formula that produces O(h) approximations to a number M and that M = N\(h) + K\h + A^A2 + , for a collection of positive constants K\, K2, Then N\(h), N\{h/2), A|(A/4), ... are all lower bounds for M. What can be said about the extrapolated approximations A^fA), N^ih),...?

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