1/2+2/3+3/4……n/(n+1)
=(1-1/2)+(1-1/3)+……+[1-1/(n+1)]
=n-[1/2+1/3+1/4+……+1/(n+1)]
=n-[ln(n+1)-1+γ]
γ这个数就叫作欧拉常数
0.57721566490153286060651209
1/2+2/3+3/4……n/(n+1)
=(1-1/2)+(1-1/3)+……+[1-1/(n+1)]
=n-[1/2+1/3+1/4+……+1/(n+1)]
=n-[ln(n+1)-1+γ]
γ这个数就叫作欧拉常数
0.57721566490153286060651209