The order seems to be 1/n if f is discontinous, and 1/n 2 if f is continuous
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The order seems to be 1/n if f is discontinous, and 1/n2 if f is continuous but f' = df/dx is discontinuous, 1/n3 if f and f' are continuous but f" is discontinuous, etc. Try to verify this for examples. Try to prove it by integrating the Euler formulas by parts. What is the practical significance of this?
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