1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+.+1/(a+2010)(b+2010)=?对了 a=2 b=1

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 03:42:22
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+.+1/(a+2010)(b+2010)=?对了 a=2 b=1

1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+.+1/(a+2010)(b+2010)=?对了 a=2 b=1
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+.+1/(a+2010)(b+2010)=?
对了 a=2 b=1

1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+1/(a+3)(b+3)+.+1/(a+2010)(b+2010)=?对了 a=2 b=1
2011/2012
经典题了吧
原式=1/1*2+1/2*3+1/3*4+...1/2011*2012
=1-1/2+1/2-1/3+.+1/2011-1/2012
=2011/2012