来自江松的问题
1/(2×4)+1/(4×6)+1/(6×8)+…+1/(2010×2012).
1/(2×4)+1/(4×6)+1/(6×8)+…+1/(2010×2012).
1回答
2020-05-06 18:37
1/(2×4)+1/(4×6)+1/(6×8)+…+1/(2010×2012).
1/(2×4)+1/(4×6)+1/(6×8)+…+1/(2010×2012).
1/(2x4)=1/2(1/2-1/4)1/(4x6)=1/2(1/4-1/6)其余的同理
所以原式=1/2(1/2-1/4+1/4-1/6+1/6-1/8.+1/2010-1/2012)
=1/2(1/2-1/2012)
=1005/4024