If, in the de Broglie formula, we let $m \rightarrow \infty$, do we get the classical result for macroscopic particles?

The de Broglie formula reads

$$\lambda=\frac{h}{mv}.$$

Letting $m\to\infty$ we get $\lambda=0$ which would correspond to the fact that macroscopic particles in classical physics do not exhibit wavelike properties.