# Taylor series

1. Apr 13, 2009

### boneill3

1. The problem statement, all variables and given/known data

To find the general series expansion (1-x)^-1 for the first 4 terms
Do i just use the taylor series ?

2. Relevant equations

f(x) = f(x) + f '(x)/1! x + f ''(x)/2! x^2 + f '''(x)/3! x^3

3. The attempt at a solution

= 1 + x + x^2 + x^3 + x^4 etc.

regards
Brendan

2. Apr 13, 2009

### qntty

Looks good, except the taylor series of any function f around 0 is

$$\sum{\frac{f^{(n)}(0)x^n}{n!}}$$