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：作业帮 时间：2024/11/19 23:31:30
1/x+1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...1/(x+9)(x+10)=0
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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

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