Find the Hermite interpolating polynomial for the function f(x) = √x satisfying the conditions f5(xi) = √xi, i = 0, 1, 2 and f'5(xi) = 1/(2√xi), i = 0, 1, 2 for the points x0 = 1, x1 = 4 and x2 = 9. hence find the error bound of the interpolating polynomial.

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