Consider a cylindrical conductor of length $\mathrm{L}$ and area of cross-section $\mathrm{A}$. The specific conductivity varies as $\mathrm{\sigma }\left(\mathrm{x}\right)={\mathrm{\sigma }}_0\frac{\mathrm{L}}{\sqrt{\mathrm{x}}}$ where $\mathrm{x}$ is the distance along the axis of the cylinder from one of its ends. The resistance of the system along the cylindrical axis is