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) \(\infty\)

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Definitions:

Financially Distressed

The situation in which a company or individual cannot meet or has difficulty paying off financial obligations.

Financial Risk

The equity risk that comes from the financial policy (i.e., capital structure) of the firm.

Prices

The amount of money required to purchase goods or services.

Rate Of Change

The speed at which a variable quantity, such as a number or measurement, changes over a certain period of time.