In the thermodynamic limit (when the extensive properties of the system become infinitely large, while the intensive ones remain constant), the \(q\)-potential of the system may be calculated by taking only the largest term in the sum

\[
\sum_{N_{r}=0}^{\infty} z^{N_{r}} Q_{N_{r}}(V, T)
\]

Verify this statement and interpret the result physically.