Question

Tính : ( 1/2 +1 ) * ( 1/3 + 1 ) * ( 1/4 + 1 ) * ...... * ( 1/9 +1 ) =

Answer 1

\(=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}...\frac{10}{9}=\frac{3.4.5...10}{2.3.4...9}=\frac{10}{2}=5\)

Answer 2

\(\left(\frac{1}{2}+1\right)\left(\frac{1}{3}+1\right)...\left(\frac{1}{9}+1\right)=\frac{3}{2}.\frac{4}{3}...\frac{10}{9}=\frac{3.4...10}{2.3.4...9}=\frac{10}{2}=5\)