Consider $N$ atoms, each with magnetic moment $\mu$ in a zero field $H = 0$. Given the assumption that each moment is equally likely, what is the magnetization in the thermodynamic limit?
The idea of magnetization is fairly new to me; but, from reading online, I think that it is analogous to density. Furthermore, I know that the thermodynamic limit is when $N \rightarrow \infty$ and $V\rightarrow \infty$ with $N/V$ held constant.
I know that magnetization is defined as $dm/dV$, where $m$ is the elementary magnetic moment, and $V$ is the volume. When $V \rightarrow \infty$, the denominator of the $dm/dV$ term approaches $0$; so, is my answer just $0$?