Let's consider this problem: 0 × lim(n→∞) n If the limit were evaluated first, it would be 0 × ∞ = undefined. If the limit were rewritten as lim(n→∞) 0n, it would be lim(n→∞) 0 = 0. I cannot tell which is the correct interpretation. It seems that if we consider n to be a finite and growing value, approaching a limit, it will always equal zero. But if we consider it to be the limit itself, it seems to be undefined. Which is the correct interpretation? I feel as though this is a fundamental characteristic of limits that I am not understanding.