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!
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!
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