急求高手来解数学题:求证1⼀(n+1)+1⼀(n+2)+....+1⼀(3n+1)>1 [n属于N*]

数学题
2025-02-27 05:13:24
推荐回答(1个)
回答1:

1/(n+1)+1/(3n+1)>2/(2n+1)
1/(n+2)+1/(3n)>2/(2n+1)
.........
1/(2n)+1/(2n+2)>2/(2n+1)
1/(2n+1)=1/(2n+1)

1/(n+1)+1/(n+2)+....+1/(3n+1)>(2n+1)/(2n+1)=1