> >What else is pi then
> >1+1/3+1/5+1/7+1/9 and so on ... ?
>
> Ermmm. Isn't that value closer to 2, actually? :-)
>
This value diverges to +infinity.
> I thought (without checking) that the value of pi was something like:
>
> 4/1+4/3-4/5+4/7-4/9+4/11-4/13...
>
> At least it involved 4 in some way, and alternate pluses and minuses.
> Anybody with a little more experience, please step in and clarify :-)
Ok,here it is:
pi/4=1-1/3+1/5-1/7+...+(-1)^k/(2*k+1)...
this is based on the expansion of arctan into an infinite series,
since arctan(1)=pi/4, the rest is history...
-Lucas
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