1/(1x2)
1/(2x3)
...
10. 1/(10x11_)=1/10-1/11
n. 1/(nx{n+1})=1/n-1(n+1)
(3)=(1/2-3/1)+(1/3-1/4)+。。。。。+(1/2013-1/2014)
=1/2-1/3+1/3-1/4+....+1/2012-1/2013+1/2013-1/2014(1/3相互抵消,后面也是,1/4 .1/5 .1/6 .。。。1/2013都抵消)
=1/2-1/2014
=会算了吧
1/(1x2)
1/(2x3)
...
10. 1/(10x11_)=1/10-1/11
n. 1/(nx{n+1})=1/n-1(n+1)
(3)=(1/2-3/1)+(1/3-1/4)+。。。。。+(1/2013-1/2014)
=1/2-1/3+1/3-1/4+....+1/2012-1/2013+1/2013-1/2014(1/3相互抵消,后面也是,1/4 .1/5 .1/6 .。。。1/2013都抵消)
=1/2-1/2014
=会算了吧