(3*3)/(2*4)=1+1/(2*4)=1+1/2*2/(2*4)=1+1/2*(1/2-1/4)其他的也是同理
所以原来的式子=1+1/2*(1/2-1/4)+1+1/2*(1/4-1/6)+1+1/2*(1/6-1/8)+1+1/2*(1/8-1/10)+1+1/2*(1/10-1/12)+1+1/2*(1/12-1/14)+1+1/2*(1/14-1/16)+1+1/2*(1/16-1/18)
=(1+1+1+1+1+1+1+1)+1/2*(1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10+1/10-1/12+1/12-1/14+1/14-1/16+1/16-1/18)
=8+1/2*(1/2-1/18)
=8+2/9
=8又2/9
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