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I wrote the sum from n=0 to ∞ as: ∑-1^n (x)^-(n+1) (x-3)^n I'm not sure if that is correctly centered at 3

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...