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a limit curiosity ? Pi/2 - tommy1729 - 08/07/2012

It seems

lim x -> +oo
sum( (-1)^i * x^(2*i-1)/( factorial(2*i)*ln(2*i) ) , i = 1 .. oo)
+(1/2)*Pi = 0

or in tex



how to prove it ?

regards

tommy1729