1. The problem statement, all variables and given/known data Find the Taylor series expansion of f(x) = (x-1)/(1+(x-1)^2) about x=1 and use this to compute f(9)(1) and f(10)(1) 2. Relevant equations The sum from n=0 to infinity of f(k)(c)/(k!) (x-c)k 3. The attempt at a solution I'm not sure how to approach this problem. Using the expansion formula is clearly incorrect as the derivative keeps on expanding. Any help would be greatly appreciated.