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2. The values of In x for x = 2.0, 2.5, 3.0 are to be used to estimate ln(2.37) by quadratic interpolation. Use the Cauchy

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2. The values of In x for x = 2.0, 2.5, 3.0 are to be used to estimate ln(2.37) by quadratic interpolation. Use the Cauchy reminder formula to prove that the resulting approxima- tion is an underestimate, and obtain upper and lower bounds for its truncation error. Calculate the quadratic approximation and compare the actual error with your bounds. 2. The values of In x for x = 2.0, 2.5, 3.0 are to be used to estimate ln(2.37) by quadratic interpolation. Use the Cauchy reminder formula to prove that the resulting approxima- tion is an underestimate, and obtain upper and lower bounds for its truncation error. Calculate the quadratic approximation and compare the actual error with your bounds

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