All High School Math Resources
Example Question #1 : Understanding Maclaurin Series
Give the term of the Maclaurin series expansion of the function .
This can most easily be answered by recalling that the Maclaurin series for is
Multiply by to get:
The term is therefore .
Example Question #2 : Understanding Maclaurin Series
Give the term of the Maclaurin series of the function .
The term of a Maclaurin series expansion has coefficient
We can find by differentiating three times in succession:
The term we want is therefore