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C. WANG
  • 549
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A challenging (for me) limit calculation

How to calculate the following limit $$ \lim_{n\to\infty}\sqrt{n}\underbrace{\sin(\sin(\sin(\sin\cdots\sin(\frac{1}{\sqrt{n}}))))}_{n's \sin}? $$

C. WANG
  • 549
  • 3
  • 9