（1-1/2+1/3-1/4+1/5-1/6+1/

1个回答

1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10+……+1/49-1/50
=1+1/2+1/3+……+1/50-2*(1/2+1/4+1/6+……+1/50)
=1+1/2+1/3+……+1/50-(1+1/2+1/3+……+1/25)
=1/26+1/27+1/28+……+1/50
所以原式=1