1. The problem statement, all variables and given/known data I need to create a function and pick a point, I call "c" , where; (1)the limits from the right and left are equal, (2)the function is defined at "c", but... (3)the function is not continuous at "c" I don't get how this works. 2. Relevant equations 3. The attempt at a solution I used a removable discontinuity function: f(x) = x^2 - 4/x - 2 but then it is not defined at x = 2. So I know I could redefine it and say "at x = 2, let f(x) have the value 0f 4". Can it be that simple? I factored the original equation and canceled out all but x + 2, but I am not sure why I was trying that. Except that I keep trying all these things I have learned in math to try and make sense of this. I can almost see the answer but then I get to "lim (as x approaches 2) of f(x) is equal to lim ( as x approaches 2) (x+2) = 4. I have also used x^2-9/x-3 (which is basically the same) I have used x^2 - 9/x+3 but then I get lost again after factoring and get x-3.