Question

Вычислите (1+1/2)(1+1/3)(1+1/4)(1+1/5)...(1+1/2014)

Answer 1

$(1+\frac{1}{2})(1+\frac{1}{3})(1+\frac{1}{4})(1+\frac{1}{5})...(1+\frac{1}{2014})=\\\\\frac{3}{2}*\frac{4}{3}*\frac{5}{4}*\frac{6}{5}*...*\frac{2014}{2013}=\frac{2014}{2}=1007$