You see you computed:   
      
      f(10000.) is about 0.632223583408565   
      
   But we have:   
      
      lim n->oo f(n) = 1 - 1/e   
      
                     = 0.6321205588285576784044762298385...   
      
   The closed form solution 1 - 1/e, can it be   
   produced by some CAS nowaday.   
      
   Am Sonntag, 24. Juni 2018 12:40:39 UTC+2 schrieb burs...@gmail.com:   
   > Well the answer is of the limit of the sums   
   > quotient would be simple 1 - 1/e. But can a   
   > CAS on the market do it?   
   >   
   > What is so difficult in this problem, that   
   > human by hand can easily do, to do it   
   > on the computer.   
   >   
   > Am Sonntag, 24. Juni 2018 03:14:16 UTC+2 schrieb Richard Fateman:   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)