-11/2+(-1/21/3)+(-1/31/4)+···+(-1/20101/2011)

来源：学生作业帮助网编辑：作业帮时间：2024/04/30 00:12:46

-1*1/2+(-1/2*1/3)+(-1/3*1/4)+···+(-1/2010*1/2011)
-1*1/2+(-1/2*1/3)+(-1/3*1/4)+···+(-1/2010*1/2011)

-1*1/2+(-1/2*1/3)+(-1/3*1/4)+···+(-1/2010*1/2011)
原式=-（1-1/2)-(1/2-1/3)-(1/3-1/4)-········-(1/2010-1/2011) =-1+1/2-1/2+1/3-1/3+1/4-············-1/2010+1/2011 =-1+1/2011 =-2010/2011
记得采纳啊