[math-fun] a nice day

Nice day in Yaoundé today... log(2)=sum((-1)^k*(1-1/2^k)*zeta(k), k= 2..infinity); An improvement in convergence. S(n) = sum((-1)^k*(1-1/2^k)*zeta(k), k= 2..n); log(2) = (S(n+1) + S(n))/2 ; n ----- infinity... FME...