1/34+1/35+1/36+.+1/100>1
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 13:40:46
![1/34+1/35+1/36+.+1/100>1](/uploads/image/z/2482794-18-4.jpg?t=1%2F34%2B1%2F35%2B1%2F36%2B.%2B1%2F100%3E1)
1/34+1/35+1/36+.+1/100>1
1/34+1/35+1/36+.+1/100>1
1/34+1/35+1/36+.+1/100>1
1/34>1/40~1/34+1/35+1/36+.+1/40>7/40
1/41+.+1/50>1/5
1/51+.+1/60>1/6
1/61+.+1/70>1/7
1/71+.+1/80>1/8
1/81+.+1/90>1/9
1/91+.+1/100>1/10
1/34+1/35+1/36+.+1/100>24/40+1/6+1/7+1/9=3/5+53/126>(75+53)/126=128/126
故:原不等式成立