Chapter 37, Problem 71P

To determine

The proof that for large values of $n$, the separation $\Delta r$ between two adjacent orbits is given by $\Delta r=r_{\text{n}}-r_{\text{n}-1}\approx \frac{2r_{\text{n}}}{n}$, such that $\Delta r/r_{\text{n}}\to 0$ as $n\to \infty$ in accordance with the corresponding principle.