10.14 Finding Taylor or Maclaurin Series for a Function
- Syllabus
- 2020
- Topic
- 10.14
- Level
- —
Learning objectives
—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.
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.