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+--- Thread: a limit curiosity ? Pi/2 (/showthread.php?tid=743)
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
\( -\pi/2 = \frac{lim} {x -> +oo} \sum_{i=1}^{\infty} \frac {(-1)^i x^{2i - 1}} {(2i)! ln(2i)} \)
how to prove it ?
regards
tommy1729