Numerical Methods
Numerical Methods
4th Edition
ISBN: 9780495114765
Author: J. Douglas Faires, BURDEN
Publisher: Cengage Learning
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Chapter 1.2, Problem 5E

Let f ( x ) = x 3 .

  1. Find the second Taylor polynomial P 2 ( x ) about x 0 = 0 .
  2. Find R 2 ( 0.5 ) and the actual error when using P 2 ( 0.5 ) to approximate f ( 0.5 ) .
  3. Repeat (a) with x 0 = 1 .
  4. Repeat (b) for the polynomial found in (c).

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