Stirling's approximation can be defined below:   How do I calculate how big N is so that the error is less than 5% if a graph for this had an approximation from N=1 to N=100?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.2: Arithmetic Sequences And Partial Sums
Problem 6ECP: Find the sum of the integers (a) from 1 to 35 and (b) from 1 to 2N.
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Stirling's approximation can be defined below:

 

How do I calculate how big N is so that the error is less than 5% if a graph for this had an approximation from N=1 to N=100?

N (N) N
N!≈ √2ẦN
Transcribed Image Text:N (N) N N!≈ √2ẦN
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