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1/x+1/x2+1/x3+1/x4+1/x5+---+1/x100=?
题目详情
1/x+1/x2+1/x3+1/x4+1/x5+---+1/x100=?
▼优质解答
答案和解析
S=1/x+1/x2+1/x3+1/x4+1/x5+---+1/x100xS=1+1/x+1/x2+1/x3+1/x4+1/x5+---+1/x99S-xS=(1-x)S=1/x100 -1S=(1-x100)/[x100(1-x)]
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