Question: Consider f(x) = ln (1 - x) and its Taylor polynomials given in Example 8. a. Graph y =|f(x) - p 2 (x)| and y

Consider f(x) = ln (1 - x) and its Taylor polynomials given in Example 8.

a. Graph y =|f(x) - p₂(x)| and y = |f(x) - p₃(x)| on the interval [-1/2, 1/2] (two curves).

b. At what points of [-1/2, 1/2] is the error largest? Smallest?

c. Are these results consistent with the theoretical error bounds obtained in Example 8? Consider f(x) = ln (1 - x) and its Taylor polynomials given in Example 8.

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