∞1. The problem statement, all variables and given/known data If Lim f(x) and Lim g(x) both exist and are equal x→a x→a then Lim[f(x)g(x)]=1 x→a 2. Relevant equations No relevant equations are required in this problem. To determine whether the statement is true or false 3. The attempt at a solution The statement is false but the reason behind it is quite unclear to me. Is it because when the limit approaches a from left and right the limits are -∞ and +∞?? Would be very helpful if anyone of you could explain it.