(1+1/2)(1+1/3)(1+1/4)...(1+1/2009)=

(1-1/2)(1/3-1)(1-1/4)(1/5-1)``````(1/2009)(11/2010) 计算:|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2009-1/2008| （-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2008*1/2009)+(-1/2009*1 ｜1/2-1｜+｜1/3-1/2｜+1/4-1/3｜+...｜1/2009-1/2008｜+｜1/2010-1/2009 1.|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/2009-1/2008|= 1-1/2-1/3-1/4-.1/2009-1/2010=? 初一数学题计算(-1*1/2)+(-1/2*1/3)=(-1/3*1/4)+...+(1/2008*1/2009) (1-1/2)×(1-3/1)×.×(1-1/2008)×(1-1/2009)=? 计算(1-1/2)^2*(1-1/3)^2*(1-1/4)^2*...*(1-1/2009)^2*(1-1/2010)^ | 1/3 - 1/2 | + | 1/4 - 1/3 | + | 1/5 - 1/4 | …… + | 1/2009 1/1*2+1/2*3+1/3*4+1/4*5.+1/2007*2008+1/2008*2009=? 计算:|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2008-1/2007|+|1/2009-1