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APMOPS 2012 Câu hỏi 26

APMOPS · APMOPS 2012

Câu hỏi 26

Tính

$$\begin{aligned}&(1-\frac12-\frac13-\cdots-\frac1{2011})(\frac12+\frac13+\cdots+\frac1{2011}+\frac1{2012})\\&\quad -(1-\frac12-\frac13-\cdots-\frac1{2011}-\frac1{2012})(\frac12+\frac13+\cdots+\frac1{2011}).\end{aligned}$$