The error bound for MN is proportional to 1/N2, so the error bound decreases by 1 4 if N

Chapter 7, Problem 54

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The error bound for MN is proportional to 1/N2, so the error bound decreases by 1 4 if N is increased to 2N. Compute the actual error in MN for 0 sin xdx for N = 4, 8, 16, 32, and 64. Does the actual error seem to decrease by 1 4 as N is doubled?

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