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Aug 28, 2018 at 19:33 comment added Fausto Vezzaro I upvoted your answer. Observing how the development of ln(x!) continues is interesting: if N is some thousand (or bigger until Avogadro's number too) the first two terms are approximately of the same order of magnitude while other terms are negligible. This is not a proof, but it is a convincing justification: it is safer to use both terms.
Aug 8, 2018 at 15:21 history answered Ori CC BY-SA 4.0