Consider f(x) = ln (1 - x) and its Taylor polynomials given in Example 8. a. Graph
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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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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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