\textbf{124-} What is the value of $\displaystyle\int_{0}^{2} \left[\frac{x}{2}\right] \frac{\sqrt{x}-1}{x}\, dx$?
\begin{itemize}
\item[(1)] $4 - 2\sqrt{2} - \ln 2$
\item[(2)] $4 - 2\sqrt{2} + \ln 2$
\item[(3)] $2 + \sqrt{2} - \ln 2$
\item[(4)] $2 - \sqrt{2} + \ln 2$
\end{itemize}