Although the accuracy of RN generally improves as N increases, this need not be true for small values of N Draw the graph of a positive continuous function on an interval such that R 1 is closer than R 2 to the exact area under the graph Can such a function be monotonic ...

Let 6 be a small positive number less than 1 In the figures below 8 But imagine 8 ...

Although the accuracy of RN generally improves as N increases, this need not be true for small

Question:

Although the accuracy of RN generally improves as N increases, this need not be true for small values of N. Draw the graph of a positive continuous function ƒ on an interval such that R₁ is closer than R₂to the exact area under the graph. Can such a function be monotonic?

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