1-1/2+1/3-1/4+1/5-1/6+...+1/99-1/100

来源：百度知道编辑：UC知道时间：2024/05/20 13:56:54

似乎只能求出近似值

分子1-1/2+1/3-1/4+…………+1/199-1/200

=1+1/2+1/3+1/4+…………+1/199+1/200-2*(1/2+1/4+1/6+…………+1/198+1/200)

=1+1/2+1/3+1/4+…………+1/199+1/200-(1+1/2+1/3+1/4+…………+1/99+1/100)

=1/101+1/102+…………+1/199+1/200

分母1/（1+201）+1/（2+202）+1/（3+303）+…………+1/（100+300）

=1/2*(1/101+1/102+1/103+…………+1/200)

所以分子/分母=2

(1/2005-1)(1/2004-1)........(1/3-1)(1/2-1) 1+1/2+1/3+.....+1/n 1+1/2+1/3+...+1/100 1-1/2+1/3-.....-1/10 (1+1/2+1/3+1/4)× (1-1/2)(1-1/3)(1-1/4)(1-1/5).....(1-1/1000) 1+1/(1+2)+1/(1+2+3)+...+1/(1+2+3+...+100) 1+1/(1+2)+1/(1+2+3)+-------+1/(1+2+3+----+100) 1+1/1+2+1/1+2+3+...+1/1+2+3...+2000 1+1/1+2+1/1+2+3.........+1/1+2+3.....100