examine the convergence or divergence of (summation) (log(base n) n!)/(n^3) can we estimate n! with the help of stirlings formula and then do the question
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Originally Posted by prasum examine the convergence or divergence of (summation) (log(base n) n!)/(n^3) can we estimate n! with the help of stirlings formula and then do the question Claim: You can prove this by induction if needed, but observe Or if you belive that and since the log function is monotonic increaseing you get But either way you end up with And we know that this converges.
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