(a) Using (7), compute approximate values of for n! for n = 1, · · ·, 20.

(b) Determine the relative error in (a). Find an empirical formula for that relative error.

(c) An upper bound for that relative error is e^1/12n - 1. Try to relate your empirical formula to this.

(d) Search through the literature for further information on Stirling’s formula. Write a short eassy about your findings, arranged in logical order and illustrated with numeric examples.