1/2+1/6+1/12.1/110=

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1/2+1/6+1/12.1/110=
1/2+1/6+1/12.1/110=

1/2+1/6+1/12.1/110=
1/2+1/6+1/12+……+1/110
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/10-1/11)
=1-1/2+1/2-1/3+1/3-1/4+……+1/10-1/11
=1-1/11
=10/11
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原式= (1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/10-1/11)
=1 - 1/11
= 10/11

1/2+1/6+1/12......1/110
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/10-1/11)
=1-1/11
=10/11