(a) Write and execute a MATLAB program to calculate for an arbitrary n. Use your program to calculate 64!.
(b) What is the largest integer n for which your program gives a finite answer?
(c) Sterling's approximation for the factorial function is given by
![](https://test.transtutors.com/qimg/fee16fb3-157e-416e-baae-7bb189b7eccb.png)
Use your program to compare the true value of n! with Sterling's approximation. For what ranges of n is the approximation within 1% of the true value?