1+1/2+1/3+1/4+1/5+...+1/n=

1+1/2+1/3+1/4+1/5+...+1/n=
1+1/2+1/3+1/4+1/5+...+1/n=

1+1/2+1/3+1/4+1/5+...+1/n=
≈lnn+C(C=0.57722.一个无理数,称作欧拉初始,专为调和级数所用)
亲 记得采纳哦 O(∩_∩)O谢谢

1+1/2+1/3+1/4+1/5+.......+1/N=(1+1/n)*n/2=(n+1)/2

是个发散级数，C+lnn