Question: 1 Consider the task of approximating sin x over the interval 0 1 If one uses a polynomial interpolant based upon n 1 equispaced data

1 Consider the task of approximating sin x over the interval

1 Consider the task of approximating sin x over the interval 0 1 If one uses a polynomial interpolant based upon n 1 equispaced data points on 0 1 x ih h 1 n i 0 1 n How many points are required so that the error bound for the interpolant is less than 1 x 10 6

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