\begin{examproblem}[]
Prove that
\[
2\ln(n^3)+2 \sim \sum_{i=1}^{n} 6/i.
\]

\solution{
The lefthand side is $\sim 6\ln n$, while the righthand side is $6 H_n$;
but we know that $H_n\sim\ln n$, and hence $6\ln n\sim 6H_n$, as well.
}

\end{examproblem}
