Which of the following is/are true?
1
\(\displaystyle \lim _{n \rightarrow \infty}\)\(\left(\left(1+\frac{1}{n}\right)\left(1+\frac{2}{n}\right) \ldots \ldots .\left(1+\frac{n}{n}\right)\right)^{\frac{1}{n}}\) = \(\frac{4}{e}\)
2
\(\displaystyle \lim _{n \rightarrow \infty}\left(2 n_{C_n}\right)^{\frac{1}{n}}=4\)
3
\(\displaystyle \lim _{n \rightarrow \infty}\left(\frac{3 n !}{(n !)^3}\right)^{\frac{1}{n}}=27\)
4
All of these.