Interesantan limes

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Interesantan limes 08.05.2005. u 15:55 · pre 261 meseci #1

Interesantan limeščić:

$\lim\prod\frac{p^2+1}{p^2-1}=\frac{5}{2}$

gde p uzima vrednosti svih prostih brojeva.

Potpis

I HAD A NIGHTMARE
IT ALL STARTED NORMAL
10101010
10110011
THEN ALL OF A SUDDEN
1100102
GAAAAH
_____________________________
www.princeton.edu/~skrstic
www.niwifi.co.sr

Re: Interesantan limes 08.05.2005. u 18:54 · pre 261 meseci #2

Jel ti mene zajebavas?

Re: Interesantan limes 08.05.2005. u 19:00 · pre 261 meseci #3

Hint:

$\zeta x = \sum_{n=1}^{\inf} {\frac{1}{n^x}} = \prod_{p-prost}{1-\frac{1}{p^x}}$

Sta se dobija za x = 2 i x = 4?

Re: Interesantan limes 08.05.2005. u 20:00 · pre 261 meseci #4

Citat:

Sinalco:
$\zeta x = \sum_{n=1}^{\inf} {\frac{1}{n^x}} = \prod_{p-prost}{1-\frac{1}{p^x}}$

Ispravka:

$\zeta x = \sum_{n=1}^{\inf} {\frac{1}{n^x}} = \frac{1}{\prod\limits_{p-prost}{1-\frac{1}{p^x}}}$

Sto te zayebavam? :D:D

Potpis

I HAD A NIGHTMARE
IT ALL STARTED NORMAL
10101010
10110011
THEN ALL OF A SUDDEN
1100102
GAAAAH
_____________________________
www.princeton.edu/~skrstic
www.niwifi.co.sr

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