Prove that this sequence diverges to infinity. $\lim_{n\to \infty} (1 +\frac{1}{n}\tag{displayed})^{n^2} = \infty$

I don't know how to tackle this one. Knowing that it diverges to infinity and thus does not have an upper bound, should I try to prove that it's an unbounded subsequence, if so how? Is that sufficient to show that $\infty$ is the limit?

Any help would be appreciated.
Hint: 
$$(1+\frac{1}{n})^{n^2}\geq 1+n^2(\frac{1}{n})$$
An approach would be using the fact that:

$$
\lim_{x \to \infty} \left(1+\frac{1}{n}\right)^n = e
$$