1/1*3=1/2*(1-1/3),1/3*5=1/2*(1/3-1/5),1/5*7=1/2*(1/5-1/7).1/17*19=1/2*(1/17-1/19)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 05:54:19
![1/1*3=1/2*(1-1/3),1/3*5=1/2*(1/3-1/5),1/5*7=1/2*(1/5-1/7).1/17*19=1/2*(1/17-1/19)](/uploads/image/z/2976887-47-7.jpg?t=1%2F1%2A3%3D1%2F2%2A%EF%BC%881-1%2F3%EF%BC%89%2C1%2F3%2A5%3D1%2F2%2A%EF%BC%881%2F3-1%2F5%EF%BC%89%2C1%2F5%2A7%3D1%2F2%2A%EF%BC%881%2F5-1%2F7%EF%BC%89.1%2F17%2A19%3D1%2F2%2A%EF%BC%881%2F17-1%2F19%EF%BC%89)
1/1*3=1/2*(1-1/3),1/3*5=1/2*(1/3-1/5),1/5*7=1/2*(1/5-1/7).1/17*19=1/2*(1/17-1/19)
1/1*3=1/2*(1-1/3),1/3*5=1/2*(1/3-1/5),1/5*7=1/2*(1/5-1/7).1/17*19=1/2*(1/17-1/19)
1/1*3=1/2*(1-1/3),1/3*5=1/2*(1/3-1/5),1/5*7=1/2*(1/5-1/7).1/17*19=1/2*(1/17-1/19)
这个规律是对的
因为1/x-1/(x+2)=(x+2-x)/x(x+2)=2/x(x+2)
所以1/x(x+2)=(1/2)*[1/x-1(/x+2)]
这个规律是对的
因为1/x-1/(x+2)=(x+2-x)/x(x+2)=2/x(x+2)
所以1/x(x+2)=(1/2)*[1/x-1(/x+2)]