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Maclaurin and Taylor Series

11th Grade · Math · UK A-Level

11 lessons

Goal

Find and use the Maclaurin series of common functions and determine their range of validity.

11 lessons
0 of 11 done
  1. Introduction to Maclaurin SeriesUp next
  2. Deriving the Maclaurin Series FormulaNot started yet
  3. Finding the General Term of a Maclaurin SeriesNot started yet
  4. Maclaurin Series for eˣNot started yet
  5. Maclaurin Series for ln(1+x)You are here
  6. Maclaurin Series for sin(x)Not started yet
  7. Maclaurin Series for cos(x)Not started yet
  8. Maclaurin Series for (1+x)ⁿNot started yet
  9. Range of Validity for Maclaurin SeriesNot started yet
  10. Using Standard Maclaurin Series to Find Other SeriesNot started yet
  11. Maclaurin Series Problem SolvingNot started yet
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Learning standards covered

gbFM-D5General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Find the Maclaurin series of a function including the general term

gbFM-D6General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Recognise and use the Maclaurin series for ex, ln(1+x), sinx, cosx and ( 1+x )n , and be aware of the range of values of x for which they are valid (proof not required)