Question: Let . Compare evenly spaced interpolation with Chebyshev interpolation by plotting degree polynomials of both types on the interval , for and 2 0 .

Let

.

Compare evenly spaced interpolation with Chebyshev interpolation by plotting degree polynomials of both types on the interval

,

for and

20 .

For evenly spaced interpolation, the left and right interpolation base points should be and

1 .

By sampling at a step size, create the empirical interpolation errors for each type, and plot a comparison. Can the Runge phenomenon be observed in this problem?

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