Question 8
Find the value of
$$A=\frac{20192019}{2019}\times\frac{2018}{20182018}\times\frac{20172017}{2017}\times\frac{2016}{20162016}\times\cdots\times\frac{2002}{20022002}\times\frac{20012001}{2001}.$$
$$A=\frac{20192019}{2019}\times\frac{2018}{20182018}\times\frac{20172017}{2017}\times\frac{2016}{20162016}\times\cdots\times\frac{2002}{20022002}\times\frac{20012001}{2001}.$$