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1/2+5/6-7/12+9/20-11/30+13/42-1/7(裂项问题,
人气:344 ℃ 时间:2020-04-12 16:05:01
解答
1/2+5/6-7/12+9/20-11/30+13/42-1/7
=1-1/2+1/2+1/3-(1/3+1/4)+1/4+1/5-(1/5+1/6)+1/6+1/7-1/7
=1-1/2+1/2+1/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7
=1
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