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10.14 Finding Taylor or Maclaurin Series for a Function

Syllabus
2020
Topic
10.14
Level

LIM-8.E—Represent a function as a Taylor series or a Maclaurin series

  • LIM-8.E Represent a function as a Taylor series or a Maclaurin series.
  • LIM-8.E.1 A Taylor polynomial for f(x) is a partial sum of the Taylor series for f(x).
  • Enduring understanding LIM-8: Power series allow us to represent associated functions on an appropriate interval.

LIM-8.F—Interpret Taylor series and Maclaurin series

  • LIM-8.F Interpret Taylor series and Maclaurin series.
  • LIM-8.F.1 The Maclaurin series for 1/(1 − x) is a geometric series.
  • LIM-8.F.2 The Maclaurin series for sin x, cos x, and eˣ provides the foundation for constructing the Maclaurin series for other functions.
  • Enduring understanding LIM-8: Power series allow us to represent associated functions on an appropriate interval.

Objective notes

2 learning objectives
ConceptAP Calculus BC