Let's consider this problem: 0 × lim(n→∞) n(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Difference Between lim(n->inf.) n and Infinity

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