I need to find the gerneral term for the Taylor series expansion with x=2 and f(x) = ln(abs(x-1)).

Not really sure where to start. Instructions say to refer to a a similar questions where f(x) = 1/(x-1). And I got E(0, infinity) (a)(2-a)^n/(n!). Not confident that's right though. I notice that 1/(1-x) is the derivative of ln(x-1), but my brain cannot quite connect the dots any further.