Let $X_n \sim Pois(3n^2)$ . Show that $X_n/ n^2$ converges in probability to 3
I got this so far:
$ P(X_n/n^2 = 3) = P(X_n = 3n^2) = \frac{(3n^2)^{(3n^2)}e^{-(3n^2)}}{(3n^2)!}$
$ Lim_{\ \ n->\infty} \frac{(3n^2)^{(3n^2)}e^{-(3n^2)}}{(3n^2)!}$
I'm stuck after this.