How to prove the limit $\underset{n\to \mathrm{\infty}}{lim}n\mathrm{sin}\frac{2\pi}{n}\mathrm{cos}\frac{1}{n}$ doesn't exist?

Scott Martinez
2022-06-02
Answered

How to prove the limit $\underset{n\to \mathrm{\infty}}{lim}n\mathrm{sin}\frac{2\pi}{n}\mathrm{cos}\frac{1}{n}$ doesn't exist?

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