Question: According to Figure 4.10, the interpolating polynomials for the function 1/(1 + x2) on the interval [ - 3, 3] based on equally spaced mesh

According to Figure 4.10, the interpolating polynomials for the function 1/(1 + x2) on the interval [ - 3, 3] based on equally spaced mesh points are very inaccurate near the ends of the interval. Does the natural spline interpolant based on the same 3, 5, and 11 data points exhibit the same inaccuracy?

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