Question: Interpolate the Runge function f(x) = 1 1 25x 2 at Chebyshev points for n from 10 to 170 in increments of 10. Calculate the

Interpolate the Runge function f(x) = 1 1 25x 2 at Chebyshev points for n from 10 to 170 in increments of 10. Calculate the maximum interpolation error on the uniform evaluation mesh x = -1:0.001:1 and plot the error vs. polynomial degree using semilogy. Observe spectral accuracy (see page 318-319 for its definition)

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