Question

1/2-1的绝对值加1/3-1/2的绝对值加1/4-1/3的绝对值加……加1/100-1/99的

对值。

Answer 1

|1/2-1|+|1/3-1/2|+|1/3-1/4|……|1/100-1/99|
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/99-1/100)
=1-1/100
=99/100。