statistics infinte series

freedominator

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?

mfb

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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freedominator	statistics infinte series Tweet 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?

mfb Mentor	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.