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Consider the polynomial P2(x) of degree 2 interpolating the function f(x) = cos(x) on the interval [0, /3] at the points x = 0,

Consider the polynomial P2(x) of degree 2 interpolating the function f(x) = cos(x) on the interval [0, /3] at the points x = 0, x1 = /4, and x2 = 7/3. Estimate the maximum of the interpolation absolute error for x = [0, /3], i.e., give an upper bound for this absolute error max cos(x) - P(x)| ? TE[0,/3] Remark: you are not asked to give the interpolation polynomial P(x).

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