Calculation (1 + 1 / 2) * (1-1 / 3) * (1 + 1 / 4) * (1-1 / 5) *. * (1 + 1 / 1000) * (1-1 / 1001) | Math enthusiast | Mathematical art

Calculation (1 + 1 / 2) * (1-1 / 3) * (1 + 1 / 4) * (1-1 / 5) . (1 + 1 / 1000) * (1-1 / 1001)

( 1+1/2)*(1-1/3)*（1+1/4)*(1-1/5)*.*(1+1/1000)*(1-1/1001）
=3/2*2/3*5/4*4/5*…… *1001/1000*1000/1001
=1*1*1*…… *1*1
=1