Different classical limits of quantum mechanics are discussed in the setting of a simple example, the two‐dimensional motion of a spinless electron in a uniform magnetic field. Both the time‐independent energy eigenstates and the time‐dependent states developing from initial localized states are exactly solvable. In the first example, an ℏ→0 limit with fixed energy leads to a simple ensemble of classical orbits. In the second, ℏ→0 with fixed initial mean position and momentum leads to a unique classical orbit.