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We are asked to determine the step size $h$ for quadratic interpolation of $$ f(x) = (2 + x)^4, \quad 1 \le x \le 2 $$ so that the interpolation error satisfies $$ |E(x)| \le 10^{-6} $$ --- ### Step 1: Interpolation Error for Quadratic Lagrange Interpolation The error term for an interpolation polynomial of degree $n$ is $$ E(x) = \frac{f^{(n+1)}(\xi)}{(n+1)!} \prod_{i=0}^{n} (x - x_i) $$ ______ _______ ________ _____ ________ ____ ____.
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