k/(k+1)!求和的极限

问题描述:

k/(k+1)!求和的极限
k从1到n,n趋向无穷

k/(k+1)!=(k+1-1)/(k+1)!
=1/k!-1/(k+1)!
Sk=(1-1/2!)+(1/2!-1/3!)+……+[1/k!-1/(k+1)!]
=1-1/(k+1)!所以,极限为1👍👍👍厉害!👍谢了