In the hydrogen atom, the transition from \( n = \infty \) to \( n = 3 \) corresponds to the shortest wavelength of the Paschen series. The Paschen series occurs when the electron transitions to \( n = 3 \) from a higher energy level. The shortest wavelength occurs when the transition is from \( n = \infty \) to \( n = 3 \).
Thus, the correct answer is \( A \).