If $f$ is a function for which $\lim _{x \rightarrow c} f(x)$ exists and if $[f(x)]^{m / n}$ is defined for positive integers $m$ and $n$, then $ \lim _{x \rightarrow c}[f(x)]^{m / n}=\left[\lim _{x \rightarrow c} f(x)\right]^{m / n} $ mathpix snip