原式=1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9) =(1/5-1/6)+(1/6-1/7)(1/7-1/8)+(1/8-1/9) =1/5-1/9 =4/45
1/30=1/5-1/61/42=1/6-1/7........1/30+1/42+1/56+1/72=1/5-1/9=4/45
(5*6)+1/(6*7)+1/(7*8)+1/(8*9) =4\45