Re: Vieta infinite product formula
- To: mathgroup at smc.vnet.net
- Subject: [mg83856] Re: Vieta infinite product formula
- From: Szabolcs Horvát <szhorvat at gmail.com>
- Date: Sun, 2 Dec 2007 04:16:14 -0500 (EST)
- References: <fire06$riv$1@smc.vnet.net>
Andrzej Kozlowski wrote:
> I just discovered, to my disappointment, that Mathematica does not
> know the classic Vieta infinite product formula:
>
> Sin[x]/x == Product[Cos[x]/2^k, {k, 1, Infinity}]
>
> Shouldn't something be done about that?
Hi,
It's just a typo:
In[1]:= Product[Cos[x/2^k], {k, 1, Infinity}]
Out[1]= Sinc[x]
(The bracket was accidentally closed too soon.)
Szabolcs