$\text { Evaluate the limit } \lim _ { x \rightarrow \infty } \frac { x ^ { 5 } } { e ^ { 4 x } } \text { using L'Hopital's Rule if necessary. }$

question 4

Multiple Choice

$\text { Evaluate the limit } \lim _ { x \rightarrow \infty } \frac { x ^ { 5 } } { e ^ { 4 x } } \text { using L'Hopital's Rule if necessary. }$

• A) 0
• B) \(\frac { 15 } { 128 }\)
• C) \(\frac { 5 } { 4 }\)
• D) 1
• E) does not exist

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Definitions:

Critical Ratio

A scheduling or prioritization technique that calculates the ratio of the time remaining until a task's due date to the time required to complete the task, used to order tasks by urgency.

Due Date

The specified date by which a task, project, or payment is required to be completed or submitted.

Priority Rule

A guideline or criterion used to determine the sequence in which tasks or operations will be carried out in a process or system.

Johnson's Rule

A scheduling rule aimed at minimizing job setup or processing time and the total time to complete a group of jobs on two machines.