计算1/2+1/6+1/12+1/20.1/90

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计算1/2+1/6+1/12+1/20.1/90计算1/2+1/6+1/12+1/20.1/90计算1/2+1/6+1/12+1/20.1/901/2+1/6+1/12+1/20.1/90=(1-1/

计算1/2+1/6+1/12+1/20.1/90
计算1/2+1/6+1/12+1/20.1/90

计算1/2+1/6+1/12+1/20.1/90
1/2+1/6+1/12+1/20.1/90
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/9-1/10)
=1-1/10
=9/10

1/2=1-1/2
1/6=1/2-1/3
1/12=1/3-1/4
........
1/90=1/9-1/10
1/2+1/6+1/12+1/20......1/90
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5......1/90
=1-1/10
=9/10