Question 17
What is the product of $1001\times\left(1-\frac1{1001^2}\right)\times\left(1-\frac1{1002^2}\right)\times\left(1-\frac1{1003^2}\right)\times\cdots\times\left(1-\frac1{2007^2}\right)\times2007$?
IMSO 2007 Mathematics — Taiwan Second Round Short Answer (20 Questions) Question 17
IMSO Maths · IMSO 2007 Mathematics — Taiwan Second Round Short Answer (20 Questions)