For the hydrogenoid atom in Bohr-Sommerfeld quantization, compare the wave function as (r ightarrow infty) (the

For the hydrogenoid atom in Bohr-Sommerfeld quantization, compare the wave function as \(r \rightarrow \infty\) (the leading and first subleading terms) with the exact wave function. Do they match? Is there any sense in which the wave function matches the exact one in the classical limit \(n \rightarrow \infty\) ?