n!~
hence we can write your expression in the following way
~
now, if we let then the tern doesnt realy make any contributions, hence we can conclude that
~
or we can find the particular which will then just be
I need to use Stirling's Formula to find a value λ so that
(4n)!/ ((2n)!)^2 ~ (λ/√n)(16)^n as n → ∞
So far I have calculated
(√(8πn)(4n/e)^4n)/ (√(4πn)(2n/e)^2n)^2
= (√8πn)/4πn
At which point I get stuck.
Can anyone tell me whether I'm on the right track or not and where to go from here. Much appreciated.
n!~
hence we can write your expression in the following way
~
now, if we let then the tern doesnt realy make any contributions, hence we can conclude that
~
or we can find the particular which will then just be