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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


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