|1-1/2|+|1/2-1/3|+|1/3-1/4|+..

(1+1/2+1/3+...+1/2006)*(1/2+1/3+1/4+...1/2007)-(1+1/2+1/3+.. (1+1/2+1/3+1/4+1/5)*(1/3+1/4+1)-(1+1/3+1/4)*(1/2+1/3+1/4+1/5 奥数六年级1/2/(1+1/2)+1/3/(1+1/2)(1+1/3)+1/4/(1+1/2)(1+1/3)(1+1/4 (1-1/2)(1-1/3)(1-1/4).(1-1/99)(1-1/100)等于? 提问题(1+1/2+1/3+1/4)×(1/2+1/3+1/4+1/5)-(1/2+1/3+1/4)×(1+1/2+1/ 1;(1-1/2^2)(1-1/3^2)(1-1/4^2)````````````(1-1/99^2)(1-1/100^ 2(3+1)(3^2+1)(3^3+1)(3^4+1)(3^8+1)+1 (-1*1\2)+(-1\2*1\3)+(-1\3*1\4)+.+(-1\99*1\100) (1-1/2)+(1/2-1/3)+(1/3-1/4).+(1/1999-1/2000) (-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2011*1/2012) |1-1/2|+|1/3-1/2|+|1/4-1/3|+.+|1/1000-1/999| |1\2-1| + |1\3-1\2| + |1\4-1\3| +.+ |1\2014-1\2013|