lesson
Maclaurin Series for (1+x)ⁿ
Derive and use the Maclaurin series for the binomial expansion (1+x)ⁿ.
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Maclaurin and Taylor Series
11 lessons
Goal
Find and use the Maclaurin series of common functions and determine their range of validity.
11 lessons
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- Introduction to Maclaurin SeriesUp next
- Deriving the Maclaurin Series FormulaNot started yet
- Finding the General Term of a Maclaurin SeriesNot started yet
- Maclaurin Series for eˣNot started yet
- Maclaurin Series for ln(1+x)Not started yet
- Maclaurin Series for sin(x)Not started yet
- Maclaurin Series for cos(x)Not started yet
- Maclaurin Series for (1+x)ⁿYou are here
- Range of Validity for Maclaurin SeriesNot started yet
- Using Standard Maclaurin Series to Find Other SeriesNot started yet
- Maclaurin Series Problem SolvingNot started yet
Learning standards covered
FM-D5General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeFind the Maclaurin series of a function including the general term
FM-D6General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeRecognise 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)