- #1
Acala
- 19
- 0
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.
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.