Question: In this question, we interpolate and approximate the natural logarithm function ln(). When evaluating ln(), you may use a calculator. When presenting your final results,
In this question, we interpolate and approximate the natural logarithm function ln(). When evaluating ln(), you may use a calculator. When presenting your final results, keep three significant digits. (1) Find the quadratic interpolating polynomial of ln() in the Lagrange form. The data points are (1, ln(1)), (2, ln(2)), (3, ln(3)). Compute an approximation of ln(2.9) by evaluating the interpolating polynomial at = 2.9 and compute the absolute value of relative error of the approximation
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