what is the value of this expression (1-1/2)*(1-1/3)*(1-1/4)*(1-1/5)*........*(1-1/99)

• (1/2)*(2/3)*(3/4)*............(1/98)*(1/99)=1/99
• 9 years agoHelpfull: Yes(0) No(0)
• 》》》(1-1/2)*(1-1/3)*(1-1/4)*(1-1/5)*........*(1-1/99)
  =》》》(1/2)*(2/3)*(3/4)*(4/5)*.......... *(97/98)*(98/99)
  =》》》 All terms get cancelled only 99 remains in denominator.
  =》》》 (1/99)
  Hence (1-1/2)*(1-1/3)*
  (1-1/4)*(1-1/5)*........*(1-1/99) =1/99.
  
  
• 9 years agoHelpfull: Yes(0) No(0)