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Question: reference to these series

Question:reference to these series

Lonely 400 Maple
March 11 2009
0

please help me here:

we have the following series:

1/2-Pi/(4*sqrt(3)) = sum(1/((6*n)^2-1), n = 1 .. Infinity)

 

(5-Pi)*(1/4) = sum((-1)^(n+1)/(2*n+1), n = 1 .. Infinity) {***}

 

-1/5+(1/6)*Pi-(1/12)*sqrt(3)*log((2+sqrt(3))/(2-sqrt(3))) = sum((-1)^n/(6*n+5), n = 1 .. Infinity)

 

can someone provide me a reference to the above series? and how to compute the sum of the series on the right hand side with maple

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