Re: approximating pi
- From: glenn <glenn077@xxxxxxxxx>
- Date: Mon, 24 Dec 2007 15:34:55 +0200
O/H tommy1729 έγραψε:
k,a,b,c,d,E,F are positive integers.
C_n_2n is a binomium.
sum n=1 -> oo
(n^k * 2^n)/ C_n_2n = a*pi + b.
lim k-> oo b/a = pi
sum n=1 -> oo
n^k/ C_n_2n = c*2*pi*sqrt(3) + d.
lim k-> oo d/c = 2*pi*sqrt(3)
sum n=1 -> oo
(n^k * 3^n)/ C_n_2n = E*pi*sqrt(3)/2 + F.
lim k-> oo F/E = pi*sqrt(3)/2
nice hmm
marry xmas
and to you! :)
regards.
tommy1729
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