Question 503481
*[tex \LARGE (1 + \frac{1}{2})(1 + \frac{1}{3})...(1 + \frac{1}{2011}) = (\frac{3}{2})(\frac{4}{3})...(\frac{2012}{2011}) = \frac{2012}{2} = 1006]


The expression basically telescopes.