|1/101-1/102|+|1/102-1/103|+|1/103-1/104|+|1/104-1/105|=

问题描述:

|1/101-1/102|+|1/102-1/103|+|1/103-1/104|+|1/104-1/105|=

|1/101-1/102|+|1/102-1/103|+|1/103-1/104|+|1/104-1/105|
=1/101-1/102+1/102-1/103+1/103-1/104+1/104-1/105
=1/101-1/105
=4/(101*105)
=4/10605