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!