(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

Chapter 24, PROBLEM SET 24.4 #13

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(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 e1/12n - 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.

Related Book For answer-question

Advanced Engineering Mathematics

10th edition

Authors: Erwin Kreyszig

ISBN: 978-0470458365