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Estimate the Limit by Graphing the Function for an Appropriate x>0x > 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>0x > 0 , find the maximum value, if any, of x1/x6x ^ { 1 / x ^ { 6 } } .


A) e6ee ^ { 6 e }
B) e1/(6e) \mathrm { e } ^ { 1 / ( 6 \mathrm { e } ) }
C) 1
D) \infty

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