Consider the term In(N!). Compare this exact value with the more accurate Stirlingapproximation,InN!~NlnN−N+lnV2aN,and to a lighter form,In N!~ Nln N - N.when N = 1, 10 and 100. Calculate the relative errors of the approximations in all cases.

The given term is lnN!. We have to compare this exact value with the more accurate Stirling…

Answered: Consider the term In(N!). Compare this…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Consider the term In(N!). Compare this exact value with the more accurate Stirling approximation, lnN!~NlnN−N+lnV2aN, and to a lighter form, lnN!~NhnN−N, when N = 1, 10 and 100. Calculate the relative errors of the approximations in all cases.