The values of f(x) = 1/x are given in the following table. i: 0, 1, 2 x: 2, 2.75, 4 f(x): 1/2, 1/2.75, 1/4 Estimate the value of f(3) by using the Lagrange interpolation polynomial. Perform all your calculations in four decimal places.
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75, f(x1) = 1/2.75 x2 = 4, f(x2) = 1/4 Lagrange interpolation polynomial formula: f(x) = ((x - x1)(x - x2)/(x0 - x1)(x0 - x2)) * f(x0) + ((x - x0)(x - x2)/(x1 - x0)(x1 - x2)) * f(x1) + ((x - x0)(x - x1)/(x2 - x0)(x2 - x1)) * f(x2) Show more…
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