statistical mechanics - Entropy of an ideal gas in $Tto 0$ limit

After deriving the entropy of an ideal gas we get to :

$$S = Nk \left[\ln(V) + \frac{3}{2}\ln(T) + \frac{3}{2}\ln\left(\frac{2\pi mk}{h^2}\right) - \ln(N) + \frac{5}{2} \right]$$

In the zero temperature limit, we expect to have $S=0$, however, we get infinity. How can we overcome this mathematical inconsistency?