Maybe this helps? Product_{-N <= n <= N} (1 + 1/(z-n)) = Product_{-N <= n <= N} ((z-n+1)/(z-n)) —Dan ----- Puzzle: ------- Determine which function is given by the corresponding infinite product where it converges: f(z) = lim Product_{-N <= n <= N} (1 + 1/(z-n)) N—>oo -----