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a limit curiosity ? Pi/2

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a limit curiosity ? Pi/2
tommy1729 Offline
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#1
08/07/2012, 09:27 PM (This post was last modified: 08/07/2012, 09:42 PM by tommy1729.)
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
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