The nth root of n! a. Show that lim,(2n7)/(2n) = 1 and hence, using Stirling's approximation (Chapter 8, Additional Exercise 52a), that Vn! - for large values of n. b. Test the approximation in part (a) for n = 40, 50, 60, ..., as far as your calculator will allow.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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The nth root of n!
a. Show that lim,(2n7)/(2n) = 1 and hence, using Stirling's
approximation (Chapter 8, Additional Exercise 52a), that
Vn! - for large values of n.
b. Test the approximation in part (a) for n = 40, 50, 60, ...,
as far as your calculator will allow.
Transcribed Image Text:The nth root of n! a. Show that lim,(2n7)/(2n) = 1 and hence, using Stirling's approximation (Chapter 8, Additional Exercise 52a), that Vn! - for large values of n. b. Test the approximation in part (a) for n = 40, 50, 60, ..., as far as your calculator will allow.
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