T=(1/2+1/3+1/4+1/5)+(1/6+1/7+1/8)+(1/9+1/10+1/11)+(1/12+1/13+1/14)+(1/15+1/16+1/17)
1/6+1/7+1/8<3*1/6=1/2
1/9+1/10+1/11<3*1/9=1/3
1/12+1/13+1/14<3*1/12=1/4
1/15+1/16+1/17<1/5
=>T<2(1/2+1/3+1/4+1/5)<2(1/2+1/2+1/4+1/4)=3
Chứng minh tương tự, ta được: T>2
=>2<T<3
=>T ko là số tự nhiên