Y = 1 / (x ^ 2-3x + 2) expanded to power function

Y = 1 / (x ^ 2-3x + 2) expanded to power function

Y = 1 / (x-1) (X-2) = 1 / (X-2) - 1 / (x-1) = - 0.5 / (1-x / 2) + 1 / (1-x) = - 0.5 [1 + X / 2 + x ^ 2 / 4 + x ^ 3 / 8 +...] + [1 + X + x ^ 2 + x ^ 3 +...] = (1 / 2) + (3 / 4) x + (7 / 8) x ^ 2 +... + (1-1 / 2 ^ (n + 1)) x ^ n +... The convergence domain is | X|