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10.12 Lagrange Error Bound

Syllabus
2020
Topic
10.12
Level
—

Learning objectives

—LIM-8.C—Determine the error bound associated with a Taylor polynomial approximation• LIM-8.C Determine the error bound associated with a Taylor polynomial approximation.• LIM-8.C.1 The Lagrange error bound can be used to determine a maximum interval for the error of a Taylor polynomial approximation to a function.• LIM-8.C.2 In some situations, the alternating series error bound can be used to bound the error of a Taylor polynomial approximation to the value of a function.• Enduring understanding LIM-8: Power series allow us to represent associated functions on an appropriate interval.

LIM-8.C—Determine the error bound associated with a Taylor polynomial approximation

  • LIM-8.C Determine the error bound associated with a Taylor polynomial approximation.
  • LIM-8.C.1 The Lagrange error bound can be used to determine a maximum interval for the error of a Taylor polynomial approximation to a function.
  • LIM-8.C.2 In some situations, the alternating series error bound can be used to bound the error of a Taylor polynomial approximation to the value of a function.
  • Enduring understanding LIM-8: Power series allow us to represent associated functions on an appropriate interval.