数列 1/2,3/2,1/3 ,4/3,·········1/n+1,n+2/n+1,·········是否有极限?

问题描述:

数列 1/2,3/2,1/3 ,4/3,·········1/n+1,n+2/n+1,·········是否有极限?

1/2 1/3 1/4 ……1/n+1的极限是0
3/2 4/3 5/4 ……n+2/n+1的极限是1