|1/2-1|+|1-3-1/2|+…+|1/99-1/98|+|1/100-1/99|计算

问题描述:

|1/2-1|+|1-3-1/2|+…+|1/99-1/98|+|1/100-1/99|计算

|1/2-1|+|1-3-1/2|+…+|1/99-1/98|+|1/100-1/99|
=(1-1/2)+(1/2-1/3)+…+(1/98-1/99)+(1/99-1/100)
=1-1/100
99/100