1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]
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1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/()+1/()+1/()+1/()]1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/()+1/()+1/()
1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]
1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]
1-1/2+1/3-1/4+1/5-1/6+…+1/15=23*[1/( )+1/( )+1/( )+1/( )]
1-1/2+1/3-1/4+1/5-1/6+…+1/15
=1+1/2+1/3+1/4+1/5+1/6+…+1/15-1-1/2-1/3-1/4-1/5-1/6-1/7
=1/8+1/9+1/10+1/11+1/12+1/13+1/14+1/15
8+15=23 9+14=23 .
1/23×(1/8+1/15)=1/120
1/23×(1/9+1/14)=1/126
1/23×(1/10+1/13)=1/130
1/23×(1/11+1/12)=1/132
上式=23×[1/(120)+1/(126)+1/(130)+1/(132)]