(1+1/2)*(1+1/3)*(1+1/4)......*(1+1/100)
=3/2*4/3*5/4*6/5*...*101/100
=101/2
(1-1/2)*(1-1/3)*(1-1/4)......*(1-1/100)
=1/2*2/3*3/4*4/3*.*99/100
=1/100
所以(1+1/2)*(1+1/3)*(1+1/4)......*(1+1/100)除以
(1-1/2)*(1-1/3)*(1-1/4)......*(1-1/100)
=101/2/(1/100)
=101/2*100
=5050