Taylor & Maclairin Co. WTFFF Flashcards
1
Q
What is form of Taylor series?
A
- Series format
- ((f^(n)•(a))/n!)•(x–a)^n
- list all the derivatives of given function
2
Q
Maclaurin series for e^x
A
Σ(x^n/n!)
3
Q
Maclaurin series for cosx
A
Σ((–1)^n•(x^2n))/(2n)!
4
Q
Maclaurin series for sinx
A
Σ((–1)^n•(x^2n+1))/(2n+1)!
5
Q
Maclaurin series for ln(1+x)
A
- Σ((-1)^n+1)•(x^n/n)
* n ===== 1, change to n=0
6
Q
Maclaurin series for arctanx
A
Σ((–1)^n•(x^2n+1))/(2n+1)
7
Q
How to find Taylor polynomial?
A
- f(x)/0! + f’(x)/1!•(x–a)^n …
* x=0 Maclaurin
