S=\underbrace{1+\frac{1}{2}}_{>1}+\underbrace{\frac{1}{3}+\frac{1}{4}}_{>\frac{1}{2}}+\dots+\underbrace{\frac{1}{2n-1}+\frac{1}{2n}}_{>\frac{1}{n}}+\dots>1+\frac{1}{2}+\dots+\frac{1}{n}+\dots=S