|1-1/2|+|1/2-1/3|+|1/3-1/4|+……+|1/99-1/100|
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 11:36:48
![|1-1/2|+|1/2-1/3|+|1/3-1/4|+……+|1/99-1/100|](/uploads/image/z/6938767-55-7.jpg?t=%7C1-1%2F2%7C%2B%7C1%2F2-1%2F3%7C%2B%7C1%2F3-1%2F4%7C%2B%E2%80%A6%E2%80%A6%2B%7C1%2F99-1%2F100%7C)
|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|+……+|1/99-1/100|
|1-1/2|+|1/2-1/3|+|1/3-1/4|+……+|1/99-1/100|
因为绝对值里面的都是大于0的(因为分子相同,分母越大数值越小),所以可以把绝对值全部去掉,于是中间的都被抵消了,只剩下1-1/100,所以答案是99/100