Use the power series 1 + X = 0 5-0 (-1)x", |x| < 1 to determine a power series for the function, centered at 0, -18 f(x) = = (x + 1) d dx 9 f(x)=9(-1)" n(n-1)x-2 5=0 X Determine the interval of convergence. (Enter your answer using interval notatio (-1,1)