The function f has a Taylor series about x-1 that converges to f(x) for all x in the interval of convergence. It is known that f(1) = 1, f(1) ==> ². f(n)(1) = ( − 1)~ (n − 1)! for n 22. 27 Which one of the following is the Taylor series of f(x) about x=1? (-1)n=0 2n! -(x-1)1+ Σ 1+ Σ 1+ O O O M8 Σ(-1) (x - 1)? n! (n −1)! (-1)(n-1)! (x-1)2n (-1)(x-1)n=1 Ž n=12n
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