Answer
$\lim\limits_{n \to \infty} n^\frac{2}{n}= 1$
Work Step by Step
To find the limit, we can evaluate $n^{\frac{2}{n}}$ for increasing values of $n$ and see what value it approaches.
$1^\frac{2}{1} = 1$
$10^\frac{2}{10} = 1.585$
$100^\frac{2}{100} = 1.096$
$1000^\frac{2}{1000} = 1.012$
$10000^\frac{2}{10000} = 1.002$
As $n$ increases, the value of the terms seem to approach $1$.
