\(\left(1+\dfrac{1}{2}\right)\times\left(1+\dfrac{1}{3}\right)\times...\times\left(1+\dfrac{1}{2023}\right)\)
\(=\dfrac{3}{2}\times\dfrac{4}{3}\times...\times\dfrac{2024}{2023}\)
\(=2\times...\times\dfrac{2024}{2023}\)
\(=\dfrac{2024}{2}\)
\(=1012\)
=3/2*4/3*...*2024/2023
=2024/2
=1012