Answer
$ e^6$
Work Step by Step
We have
$$\lim _{n \rightarrow \infty}\left(1+\frac{1}{n}\right)^{6n}=\left(\lim _{n \rightarrow \infty}\left(1+\frac{1}{n}\right)^{n}\right)^6=e^6,$$
where we used the formula $\lim _{n \rightarrow \infty}\left(1+\frac{1}{n}\right)^{n}=e $.
