Im trying to find the function whose power series is given by $ \sum_{n=0}^\infty (-1)^n x (x-1)^n$ So according to me $f(x) = \frac{x}{1+(x-1)} $ Which is nothing but $ f(x) = 1 $ Is it right?
I'm using standard representation of $f(x) = \frac{1}{(1-x)} $ I want to find value of $f(\pi/4)$ where $ 0<x<2$
