Write down the Lagrange form of the interpolating polynomial P(x) that satisfies P(x) = f(x) for x = = 1,...,n and x1 < x2 < · · · < xn• (1) Find the form of the polynomial that interpolates f(x) = 1 through the points x = x1 = 0.5, x2 = 1 and x3 = 3, then simplify it. Use this polynomial to estimate the value of ƒ (2) and find the error from the actual value.

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