Re: Vieta infinite product formula
- To: mathgroup at smc.vnet.net
- Subject: [mg83857] Re: Vieta infinite product formula
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Sun, 2 Dec 2007 04:16:46 -0500 (EST)
- References: <fire06$riv$1@smc.vnet.net> <475168F7.6030408@gmail.com>
On 1 Dec 2007, at 23:00, Szabolcs Horv=E1t wrote:
> 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
Thanks. What a relief - it's only me going blind ;-)
Andrzej=