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Statistics infinte series 
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#1
Feb2113, 07:13 PM

P: 5

My statistics professor wanted me to remember an infinite series sum, but i cant remember what it was
i think it was either ( E(1/n^2) 1 to infinite ) or ( E(1/(L+n^2)) 0 to infinite ) or ( E(a^n) 0 to infinite where n is between 0 and 1) i think it was the 2nd one, does anyone know how to calculate either of these? 


#2
Feb2213, 08:38 AM

Mentor
P: 12,099

E should be the sum symbol(##\Sigma##)?
The first one has a simple solution, I don't think I ever saw any closed form for the second. At the third one, do you mean "a is between 0 and 1"? In that case, it has a nice value as well, which is very useful to know. 


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