1. The problem statement, all variables and given/known data With reference to this graph: http://imageshack.us/photo/my-images/41/deletemev.jpg/ Is the value of c that makes lim x->1 [f(x) + c g(x)] exist equal to the same value of c that makes f(x) + c g(x) continuous at x = 1? 2. Relevant equations 3. The attempt at a solution They're the same, right, because the value of c that makes the lim x->1 of f(x) + cg(x) exist is the same as the value of c that makes f(x) + cg(x) continuous at x=1? Or could I be wrong??