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求一道数学题(1-1/2+1/3-1/4+1/5.+1/99-1/100)/1/(1+101)+1/(2+102)+1/(3+103).+1/(50+150)=?

题目详情
求一道数学题
(1-1/2+1/3-1/4+1/5.+1/99-1/100)/【1/(1+101)+1/(2+102)+1/(3+103 ) .+1/(50+150)】=?
▼优质解答
答案和解析
2分子:变化后是1+1/2+1/3+...+1/100-2*(1/2+1/4+1/6+..+1/100) =1+1/2+1/3+...+1/100-(1+1/2+1/3+...+1/50) =1/51+1/52+1/53+...+1/100 分母:变化后是1/102+1/104+1/106+...+1/200 =1/2*(1/51+1/52+1/53+...+1/100)...
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