I look for help with a prof :
Let F(x) = \int ((1-t^2)^½) dt
Let F(1) = phi/4
Prove for the series that phi/4 = \sum (n=2 to infinity) [½*3/4 .....(2n-3)( [(2n-2)*(2n+1])
I have the idea that Abel's theorem is relevant for the prof without being able to prove it
Full prof not just a hint.
I am sure that Abel's theorem is useful with changes to allow sum not from n=0 but from n=2.
Help is most wellcome