Given the function f(x) = 1/(3-x) it can be represented in a power series by 1/3∑(x/3)n but is there any restriction on saying ∑(x-2)n except for x = 2? In the first case, R = 3 but the second case, R = 1 and on different intervals (i.e. (-3,3) and the other is (1,3). I just simply used the expression for 1/(1-r) = ∑rn and let r = x - 2. So, any problems? I understand it's a less efficient method to solve this problem but I guess I'm just trying to see different ways to represent the same function.