Ta có 1/5+1/6+...+1/79
Ta có 1/5+1/6+1/7+1/8+1/9<1/5+1/5+1/5+1/5+1/5=1(1)
1/10+1/11+...+1/19<1/10+1/10+...+1/10=1(2)
1/20+1/21+...+1/39<1/20+1/20+...+1/20=1(3)
1/40+1/41+...+1/79<1/40+1/40+...+1/40=1(4)
Từ (1);(2);(3) và (4)=>1/5+1/6+...+1/79<1+1+1+1
1/5+1/6+...+1/79<4