Q. $\displaystyle\lim _{n \rightarrow \infty}\left(3^{n}+4^{n}\right)^{\frac{1}{n}}=$

Solution:

$\displaystyle\lim _{n \rightarrow \infty}\left(3^{n}+4^{n}\right)^{\frac{1}{n}}=\max \{3,4\}=4$