1. The problem statement, all variables and given/known data Can f be defined to be continuous at x=0? f(x)=x/(abs(x-1)-abs(x+1)) Prove why/why not. 2. Relevant equations 3. The attempt at a solution The function is not defined at x=0 because f(0)=[0/0]. Therefore it cannot be continuous at x=0 but it is indeed continuous in its domain. How do I prove it cannot be continuous at x=0?