@PolarBear call the limiting value $\mu_0$. Now if you have $\mu > \mu_0$ the block topples. If you start with large $\mu$ and then see what happens as you reduce $\mu$ the block always topples.
If you have $\mu < \mu_0$ the block slides. So start with small $\mu$ and increase it towards $\mu_0$ and the block always slides.
So what happens at $\mu_0$ depends on which direction you approach from. That means the behaviour at $\mu_0$ is not defined.