Lagrange’s Interpolation Formula

The first term is considered the remainder term as it is not in the difference table, so f(x) can be expressed approximately in terms of the divided differences as f(x) ≈ f(x0)+(x−x0)f(x0,x1)+(x−x0)(x−x1)f(x0,x1,x2), a second order formula. The …

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