Estimate the Limit by Graphing the Function for an Appropriate $x > 0$

question 143

Multiple Choice

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.
-Given that $x > 0$ , find the maximum value, if any, of $x ^ { 1 / x ^ { 6 } }$ .

• A) \(e ^ { 6 e }\)
• B) \(\mathrm { e } ^ { 1 / ( 6 \mathrm { e } ) }\)
• C) 1
• D) \(\infty\)