(1/(2/3)/(3/4)/(4/5)/(5/6)/./(1999/2000)/(2000/2001)/(2001/2002)
=1 × 3/2 × 4/3 ×5/4 × 6/5 ×...× 2001/2000 × 2002/2001
=1 × 1/2 × 2002
=1001