Prove equation (3.19). Which states Also prove that and .

For this proof, we will use Stirling’s approximation as stated in the chapter text (equation 3.18). Also for large values of , will be very small compared to 1. Hence, for very large values of we can write as follows:

The rest of the two proofs are pretty much intuitive.

If you have any question or suggestion or you have found any error in this solution, please leave a comment below.