Numerical Methods
Numerical Methods
4th Edition
ISBN: 9780495114765
Author: J. Douglas Faires, BURDEN
Publisher: Cengage Learning
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Chapter 1.2, Problem 14E

The n th Taylor polynomial for a function f at x 0 is sometimes referred to as the polynomial of degree at most n that "best" approximates f near x 0 .

  1. Explain why this description is accurate.
  2. Find the quadratic polynomial that best approximates a function f near x 0 = 1 if the tangent line at x 0 = 1 has equation y = 4 x 1 , and if f ( 1 ) = 6.

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