|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+```+|1/100-1/98|说明为什么这样做,

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|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+```+|1/100-1/98|说明为什么这样做,|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+```+|1/100-1/98

|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+```+|1/100-1/98|说明为什么这样做,
|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+```+|1/100-1/98|
说明为什么这样做,

|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+```+|1/100-1/98|说明为什么这样做,
每个绝对值符号里都是负值
所以去掉绝对值符号,里面变号,得到
(1/2-1/4)+(1/4-1/6)+……+(1/98-1/100)
=1/2-1/100 (中间项约去)
=0.49