Homework Statement
Find the Taylor Series for f(x)=1/x about a center of 3.
Homework Equations
The Attempt at a Solution
f'(x)=-x^-2
f''(x)=2x^-3
f'''(x)=-6x^-4
f''''(x)=24x^-5
...
f^n(x)=-1^n * (x)^-(n+1) * (x-3)^n
I'm not sure where I went wrong...