$d_n=(1+(2/n))^n$ converge or diverge and find the limit? I know the answer is $e^2$ and I'd like to use L'Hopital's rule because this is an indeterminate form. Can someone explain how to get there?
$$d_n=\left(1+\frac{2}{n}\right)^n$$

If you know that the sequence converges, then note that since the subsequence $d_{2n} = (1 + 1/n)^{2n} = [(1 + 1/n)^n]^2$ converges to $e^2$, so does $d_n$.
