This is not well-posed.
We need to know how the parameters change as n changes.
does Gamma function converges in probability? Gamma(n,1/n) n>0
does Gamma function converges in distribution? Gamma(n,1/n) n>0
if yes,find it!
i wanna to use the definition to prove it
but i do not know how to write it
the book gives us the hint:use moment generating function!
but can we use another way to slove?