Answer
Similar to part (c), since $\mu_{\mathrm{orb}, z}=-m_{\ell} \mu_B$, the greatest allowed value of $\mu_{\mathrm{orb}, z}$ is given by
$\left|m_{\ell}\right|_{\max } \mu_B=3 e h / 4 \pi m_e$.
Work Step by Step
Similar to part (c), since $\mu_{\mathrm{orb}, z}=-m_{\ell} \mu_B$, the greatest allowed value of $\mu_{\mathrm{orb}, z}$ is given by
$\left|m_{\ell}\right|_{\max } \mu_B=3 e h / 4 \pi m_e$.
