I already know that the value of the limit $$\lim_{n \to 0} n\cot(n)$$ is equal to $1$, but I'm not quite sure how to evaluate it in an airtight way. I tried L'Hopital, but it just becomes circular.
Does anybody have any hints?
2026-04-05 21:45:18.1775425518
How to evaluate $\lim_{n \to 0} n\cot(n)$
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$$\lim\limits_{n\rightarrow 0 } n \frac{\cos n }{\sin n}$$
Use $\lim\limits_{n\rightarrow 0} \frac{\sin n}{n} = 1$.