因为1/1x3=1/2x(1-1/3),1/3x5=1/2x(1/3-1/5),1/5x7=1/2x(1/5-1/7),···,1/17x19=1/2x(1/17-1/19)
所以1/1x3+1/3x5+1/5x7+···1/17x19
=1/2x(1-1/3)+1/2x(1/3-1/5)+1/2x(1/5-1/7)+···+1/2x(1/17-19)
=1/2x(1-1/3+1/3-1/5+1/5-1/7+···+1/17+1/19)
=1/2x(1-1/19)
=9/19
计算:1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4).
复制答案也要仔细看看题目呀