化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)要过程
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 22:08:10
![化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)要过程](/uploads/image/z/431379-27-9.jpg?t=%E5%8C%96%E7%AE%801%2Fx%28x%2B3%29%2B1%2F%28x%2B3%29%28x%2B6%29%2B1%2F%28x%2B6%29%28x%2B9%29%2B%E2%80%A6%2B1%2F%28x%2B96%29%28x%2B99%29%E8%A6%81%E8%BF%87%E7%A8%8B)
化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)要过程
化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)
要过程
化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)要过程
原式=(1/3)[1/X-1/(X+3)]+(1/3)[1/(X+3)-1/(X+6)]+……+(1/3)[1/(X+96)-1/(X+99)]
=(1/3)[1/X-1/(X+3)+1/(X+3)-1/(X+6)+……+1/(X+96)-1/(X+99)]
=(1/3)[1/X-1/(X+99)]
=(1/3)[99/X(X+99)]
=33/X(X+99)