find the limit of the sequence :

$\displaystyle

\lim_{x\to \infty}(cos\frac{x}{2}cos\frac{x}{4}...cos\frac{x} {2^n})$

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- Dec 4th 2010, 05:40 AMthe princeLimit of Sequence
find the limit of the sequence :

$\displaystyle

\lim_{x\to \infty}(cos\frac{x}{2}cos\frac{x}{4}...cos\frac{x} {2^n})$ - Dec 4th 2010, 06:05 AMPlato
In this question do you mean

$\displaystyle \displaystyle \lim_{n\to \infty}\text{ or }\lim_{x\to \infty}~?$ - Dec 4th 2010, 06:15 AMthe prince
sorry

it's $\displaystyle \lim_{n\to \infty}$ - Dec 5th 2010, 05:49 AMJester
I believe what you ask about is know as Vičte's infinite product

see List of trigonometric identities - Wikipedia, the free encyclopedia

a little more than half way down.