Revisions to A challenging (for me) limit calculation

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edited Oct 24, 2023 at 1:50

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

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edited Oct 23, 2023 at 8:11

YCor

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

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edited Oct 23, 2023 at 7:14

C. WANG

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

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