1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...1/(x+9)(x+10)=0

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/12 11:33:52
1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...1/(x+9)(x+10)=01/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...1

1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...1/(x+9)(x+10)=0
1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...1/(x+9)(x+10)=0

1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...1/(x+9)(x+10)=0
1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...1/(x+9)(x+10)=0
1/x+1/x-1/(x+1)+1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+...1/(x+9)-1/(x+10)=0
2/x-1/(x+10)=0
(x+20)/x(x+10)=0
x+20=0
x=-20
经检验x=-20是原方程的解