
Finding limit
Hey, I've come across the following limit when trying to solve a problem in probability:
$\displaystyle $$ \lim_{ n \to \infty} e^{(\sqrt{n\cdot m})it} \left(1 \frac{m}{n}(1e^{it/\sqrt{n\cdot m}}) \right)^{n^2}$$$
Would appreciate any help!
(I believe it should approach the characteristic function for a normal distribution: $\displaystyle $$e^{t^2/2} $$$)

Re: Finding limit
Hey MagisterMan.
The only advice I can give you besides any limit theorems/definitions is to transform this into a norm problem by relating the norm of a*b and a+b in terms of a*b and a + b respectively.

Re: Finding limit
Thanks. I actually solved the original probability problem in another way without having to solve this limit :)