calculus - Limit $ lim_{n rightarrow infty}sqrt{(1+frac{1}{n}+frac{1}{n^3})^{5n+1}} $

What's the limit of this?
$$
\lim_{n \rightarrow \infty}\sqrt{\left(1+\frac{1}{n}+\frac{1}{n^3}\right)^{5n+1}}
$$

Can't find a way to solve it, I tried to use something looks like $(1+1/n)^n$ but didn't succeed.

Many thanks!