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:

Cost

The amount of money that needs to be spent to acquire, produce, complete, or maintain something.

Absorption Costing

An accounting method that includes all direct costs and allotted indirect costs associated with manufacturing a product.

Ending Inventory

The total value of goods available for sale at the end of an accounting period.

Manufacturing Costs

Manufacturing costs encompass all expenses directly involved in the production of a good, including raw materials, labor, and factory overhead.