1 minus 2:1 divided by 1 plus 2:1 multiplied by 1 minus 3:1 divided by 1 plus 3:1 multiplied by... Multiplied by 1 minus 100:1 divided by 1

（1-1/2）/（1+1/2）*…… =1/3*2/4*3/5* …… 99/101
=1*2*3*4…… *99/3*4*…… *101
=1*2/100*101
=1/5050

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