What is the limit of the sequence? a(k) = (1+2+3+...+k)/(1*2*3*...*k)

It was my intent to suggest as did  Brian Smith  by noting that as k increased in value the factorial denominator far "outstripped" the numerator.

I do like the "precision" (if that be the word) of Tim's offer; seems to need no further explanation.

Posted by brianjn on 2008-01-07 08:45:32