# Taylor Series

1. Apr 8, 2013

### Soccerdude

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

Find the Taylor Series for f(x) = 1/(1-6) centered at c=6

2. Relevant equations

Ʃ Fn(a)(x-a)/n!
n=0

3. The attempt at a solution

I believe that the nth derivative of 1/(1-6x) is

(-6)n-1n!/(1-6x)n+1

So i figured that the taylor series at c=6 would be

(-6)n-1(x-6)n/(1-6x)n+1

What am I doing wrong here?

2. Apr 9, 2013

### Simon Bridge

Did you mean: $$f(x) = \frac{1}{1-6x}$$ ... from below, it appears so.
What leads you to believe that?
Start from the definition of the Taylor series.
Try writing out the 1st 3-4 terms and see if you spot a pattern.