Question

( 1 - 1/99) x ( 1 - 1/100) x...(1 - 1/2006)

Answer 1

1-1/99).(1-1/100)....(1-1/2006)
=(99/99-1/99).(100/100-1/100)....(2006/2006-1/2006) = (98/99).(99/100)...(2005/2006) =98/2006=..