Skip to main content

A challenging (for me) limit calculation

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

${}{}$

C. WANG
  • 549
  • 3
  • 9