Question

1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10...一直到加下去等于多少？

Answer 1

自己用计算机算就出来了,要不就自己把分母化成一样的再自己++++不懂就找你们老师去.答案来了1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10
=(1/2+1/3+1/6)+(1/4+1/5+1/10)+1/7+1/8+1/9
=1+11/20+1/8+1/7+1/9
=1+27/40+1/9+1/7
=1+283/360+1/7
=1+2341/2520
=4861/2520

Answer 2

原式=【1+1/3+1/5+1/7+……1/（1+2n)】-【1/2+1/4+1/6+……1/（2n)】
=……

Answer 3

ln2
方法：幂级数展开