Question 898112
Look at each term,
{{{1/2}}},{{{2/3}}},{{{3/4}}},{{{4/5}}}
.
.
.
{{{2011/2012}}},{{{2012/2013}}},{{{2013/2014}}}
.
.
.

When you take the product of all of these terms, all numerators and denominators cancel out except for a numerator of {{{1}}} and a denominator of {{{2014}}}.
{{{P=1/2014}}}