What is really this limit?

Asked Jul 25 '16 at 18:18

Active Jul 25 '16 at 18:26

Viewed 57 times

I recently find a limit that shows $\pi$:

$$\lim_{n\to \infty }\, 2^{n} \underbrace{\sqrt{2-\sqrt{2+\sqrt{2+\cdots +\sqrt{2}}}}}_n= \pi$$

The problem is that I cannot know what the limit says I talk about positive and negatives.With what order are they?

edited Jul 25 '16 at 18:26

Michael Hardy

asked Jul 25 '16 at 18:18

Taha Akbari

1

I copied the limit that I think you're referring to. Did I get it right? If so, I am still having trouble understanding your question. – Matthew Leingang Jul 25 '16 at 18:21
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What does "I cannot know what the limit says I talk about positive and negatives" mean? – smcc Jul 25 '16 at 18:21
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The question, as I understand it, when is there minus within the radicals and when is there plus? – Eff Jul 25 '16 at 18:22
@Matthew Leingang Yes you are right. – Taha Akbari Jul 25 '16 at 18:22
They're all positive except the second... – entrelac Jul 25 '16 at 18:25

0 Answers0