Estimate the Limit by Graphing the Function for an Appropriate $\lim _{ x \rightarrow \infty } \sqrt { x } ^ { 1 / x }$

Essay

Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using L'Hopital's rule.
Show each step of your calculation.
- $\lim _{ x \rightarrow \infty } \sqrt { x } ^ { 1 / x }$