please use python

3) Stirling's approximation NNeNV2TN is commonly used to approx- imate the factorial of large numbers. a) What is the behavior of the relative error for this approximation as a function of N E [1; 100]?. Hint1: For this sort of question I highly recommend using a plot to support your answer (don't forget the la- bels). Hint2: In Matlab/Python the exact value of N! is given by gamma(N+1) (in Python import the gamma function from the mod ule "math" first) b) What is the smallest integer value of N that could be used in Stirling's approximation with less than 0.5% relative error