1. The problem statement, all variables and given/known data f(x) = ln[(x-x^2)/x] Is x = 0 a removable discontinuity? 2. Relevant equations Removable discontinuities are points that can be filled in on a graph to make it continuous. 3. The attempt at a solution Is it? I know that with rational functions, canceling out factors can result in removable discontinuities. For example, the function (x+2)/[(x+2)(x+3)] has a removable discontinuity at x = -2 since the factor (x+2) can be canceled out. What about rational functions inside logarithms?