so, I'm completely stuck with this limit:
$$\lim_{n\to\infty}{\left(1+\frac{1}{n^2}\right)^n}$$
Which I can't even grasp how to start with, since I didn't understand the explanation of some method having to do with $e$. However, I believe that it would go something like this:
$$\lim_{n\to\infty}{\left(1+\frac{1}{n^2}\right)^{n^2}}$$
$$\lim_{n\to\infty}{\left(\left(1+\frac{1}{n^2}\right)^{n^2}\right)^{1/n^2I}}$$
... Or something like that... However, as you can see, I'm completely blank.
Any suggestions will be appreciated.