Question

closed

Answer 1

limit of the root?

Answer 2

hmm
this goes to zero amazingly fast and it is pretty clear right?

Answer 3

i believe so, but i gotta prove it

Answer 4

i graphed it and can see it

Answer 5

think about even \(\frac{4!}{4^4}\) an nice small value of \(n\) and what do you get?
\[1\times \frac{3}{4}\times \frac{2}{4}\times \frac{1}{4}\]

Answer 6

right

Answer 7

pretty small number cose to 0

Answer 8

close*

Answer 9

annoying factorials are hard to work with, i cannot think of a snap gimmick

Answer 10

any chance u could do a simpler one? and maybe i can work from that so many n sqrt n/n^n? without the factorial? does that make a differnece?