# Limit of Sequence

• December 4th 2010, 05:40 AM
the prince
Limit of Sequence
find the limit of the sequence :

$
\lim_{x\to \infty}(cos\frac{x}{2}cos\frac{x}{4}...cos\frac{x} {2^n})$
• December 4th 2010, 06:05 AM
Plato
In this question do you mean
$\displaystyle \lim_{n\to \infty}\text{ or }\lim_{x\to \infty}~?$
• December 4th 2010, 06:15 AM
the prince
sorry
it's $\lim_{n\to \infty}$
• December 5th 2010, 05:49 AM
Jester
I believe what you ask about is know as Viète's infinite product

see List of trigonometric identities - Wikipedia, the free encyclopedia

a little more than half way down.