S=1/5+(1/13+1/14+1/15)+(1/61+1/62+1/63)
suy ra S<1/5+1/12.3+1/60.3
S<1/5+1/4+1/20
S<1/2
S=\(\frac{1}{5}\)+(\(\frac{1}{13}+\frac{1}{14}+\frac{1}{15}\)) + (\(\frac{1}{61}+\frac{1}{62}+\frac{1}{63}\))
=> S< \(\frac{1}{5}+\frac{1}{12}.3+\frac{1}{60}.3\)
S<\(\frac{1}{5}+\frac{1}{4}+\frac{1}{20}\)
=> S< \(\frac{1}{2}\)
Vậy S<\(\frac{1}{2}\)