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Mar
29
comment How to show that $\sum\limits_{k=1}^{n-1}\frac{k!k^{n-k}}{n!}$ is asymptotically $\sqrt{\frac{\pi n}{2}}$?
Thanks for all the help. I was expecting something simpler when they said " elementary asymptotic methods", but this will certainly do.
Mar
29
accepted How to show that $\sum\limits_{k=1}^{n-1}\frac{k!k^{n-k}}{n!}$ is asymptotically $\sqrt{\frac{\pi n}{2}}$?
Mar
29
awarded  Nice Question
Mar
28
awarded  Student
Mar
28
asked How to show that $\sum\limits_{k=1}^{n-1}\frac{k!k^{n-k}}{n!}$ is asymptotically $\sqrt{\frac{\pi n}{2}}$?
Jan
27
answered On variance of a random variable
Dec
23
answered learning algebra and harmonic analysis
Dec
23
answered Good Book On Combinatorics
Nov
27
awarded  Teacher
Nov
7
comment Best Maths books for non-mathematicians
Loved this too!
Nov
7
answered Best Maths books for non-mathematicians
Oct
22
awarded  Supporter
Oct
22
comment Kindle as a Tool for Mathematicians?
I am also very interested in this question. I am particularly interested in how .pdf files display - are they all good, or do some look wonky, under different magnification levels, etc.