Problem 2. By considering the limit of the three-point Lagrange interpolation formula relative to xo, xo + €, and x1, as e → 0, obtain the formula (x1 – x)(x+ x1 – 2x0) (x1 – xo)? f(x) = f(xo) (x – xo)(x1 – x) (x1 – To) (x – xo)² (x1 – xo)2 (x1) + E(x), f (x0) + where E(x) =(x – co) (x – x1) f"(£).

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