作业帮很有难度,厉害的GG JJ们可以来挑战一下.
来源：学生作业帮 编辑：作业帮 分类：综合作业 时间：2024/05/22 14:14:25
很有难度,厉害的GG JJ们可以来挑战一下.
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原式= {[1+(1/2)]/[1-(1/2)]} *{[1+(1/3)]/[1-(1/3)]}*{[1+(1/4)]/[1-(1/4)]}.{[1+(1/100)]/[1-(1/100)]}
= [(1+2)/(2-1)] * [(1+3)/(3-1)] * [(1+4)/(4-1)].[(1+100)/(100-1)]
= (3/1)*(4/2)*(5/3)*(6/4)*.(99/97)*(100/98)*(101/99)
(约去中间项)
= 1*(1/2)*100*101=5050
= [(1+2)/(2-1)] * [(1+3)/(3-1)] * [(1+4)/(4-1)].[(1+100)/(100-1)]
= (3/1)*(4/2)*(5/3)*(6/4)*.(99/97)*(100/98)*(101/99)
(约去中间项)
= 1*(1/2)*100*101=5050