Evaluate the Limit $\lim _ { x \rightarrow 4 ^ { + } } ( 8 ( x - 4 ) ) ^ { x - 4 }$

question 61

Multiple Choice

Evaluate the limit $\lim _ { x \rightarrow 4 ^ { + } } ( 8 ( x - 4 ) ) ^ { x - 4 }$ using L'Hopital's Rule if necessary.

• A) 1
• B) \(e\)
• C) 0
• D) \(e ^ { 4 }\)
• E) \(e ^ { 8 }\)

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Definitions:

Queue Capacity

The maximum number of elements or units that a queue structure can hold or process before reaching its limit.

Poisson Process

A statistical process modeling the occurrence of events in a fixed interval of time or space if these events happen with a known constant mean rate and independently of the time since the last event.

Mean Arrival Rate

The average rate at which entities arrive in a system per unit of time, commonly used in queueing theory.

Mean Interval Time

The average time period between occurrences in a sequence of events or measurements.