Question

1-1/2的绝对值+1/2-1/3的绝对值+1/3-1/4的绝对值+1/2009-1/2010的绝对值

大哥大姐，帮帮忙啊，我这道题不会做

Answer 1

|1-1/2| + |1/2-1/3| + |1/3-1/4| + |1/2009-1/2010|
=1-1/2 + 1/2-1/3 + 1/3-1/4 + 1/2009-1/2010
=1-1/4 + 1/2009-1/2010
=3/4+1/(2009*2010)
=(3*2009*1005+2)/(2*2009*2010)

如果：
|1-1/2| + |1/2-1/3| + |1/3-1/4| +……+ |1/2009-1/2010|
=1-1/2 + 1/2-1/3 + 1/3-1/4 + ……+1/2009-1/2010
=1- 1/2010
=2009/2010

Answer 2

2009/2010

Answer 3

直接去掉绝对值不就好了嘛~~还是我题目理解错了？