解方程-1/X(X+1)+1/(X+1)(X+2)+.+1/(X+2009)(X+2010)+1/x+2010=2010解方程-1/X(X+1)+1/(X+1)(X+2)+.....+1/(X+2009)(X+2010)+1/(x+2010)=2010

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/11 19:55:59
解方程-1/X(X+1)+1/(X+1)(X+2)+.+1/(X+2009)(X+2010)+1/x+2010=2010解方程-1/X(X+1)+1/(X+1)(X+2)+.....+1/(X+2009)(X+2010)+1/(x+2010)=2010

解方程-1/X(X+1)+1/(X+1)(X+2)+.+1/(X+2009)(X+2010)+1/x+2010=2010解方程-1/X(X+1)+1/(X+1)(X+2)+.....+1/(X+2009)(X+2010)+1/(x+2010)=2010
解方程-1/X(X+1)+1/(X+1)(X+2)+.+1/(X+2009)(X+2010)+1/x+2010=2010
解方程-1/X(X+1)+1/(X+1)(X+2)+.....+1/(X+2009)(X+2010)+1/(x+2010)=2010

解方程-1/X(X+1)+1/(X+1)(X+2)+.+1/(X+2009)(X+2010)+1/x+2010=2010解方程-1/X(X+1)+1/(X+1)(X+2)+.....+1/(X+2009)(X+2010)+1/(x+2010)=2010
首先:1/x(x+1)=1/x-1/(x+1)
用这种方法可将方程左边化简为1/x-1/(x+1)+1/(x+1)-1/(x+2)+……-1/(x+2010)+1/(x+2010),也就是1/x
即1/x=2010,x=1/2010
第一项是负的么?如果是负的就得出2/(x+1)-1/x=2010,还是比较好做的