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Using the three nodes x0=1, x1=2, and x2=4, the Lagrange interpolating polynomial for the example function f(x) = 1/x is P2(x) = x^2/8 - 7x/8 + 7/4. What is a guaranteed bound for the absolute error in using P2(x) to approximate f(x) over the closed and bounded interval [1,4]? đź”´ Burden, Faires, Burden "Numerical Analysis": https://amzn.to ...
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