Use the Graph to Determine the Limit Visually (If It $$h ( x ) = \frac { x ^ { 2 } - 3 x } { x }$$

question 184

Multiple Choice

Use the graph to determine the limit visually (if it exists) .Then identify another function h₂(x) that agrees with the given function at all but one point.
$$h ( x ) = \frac { x ^ { 2 } - 3 x } { x }$$ $$\lim _ { h } h ( x ) = \text { ? }$$

• A) \(h _ { 2 } ( x ) = x + 3\) \(\lim h ( x ) = 0\)
• B) \(h _ { 2 } ( x ) = 2 x - 3\) \(\lim _ { x \rightarrow - 3 } h ( x ) = - 9\)
• C) \(h _ { 2 } ( x ) = 2 x + 3\) \(\lim _ { x \rightarrow - 3 } h ( x ) = - 3\)
• D) \(h _ { 2 } ( x ) = x - 3\) \(\lim _ { x \rightarrow - 3 } h ( x ) = - 6\)
• E) \(h _ { 2 } ( x ) = x - 3\) \(\lim _ { x \rightarrow - 3 } h ( x ) = - 9\)

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Definitions:

Johnson's Rule

Johnson's rule is a scheduling algorithm used in operations management to minimize the total processing time and optimize the job sequence through different stages in a manufacturing process.

Finite Capacity Scheduling

A method in production planning that takes into account the limitations of resources (machinery, labor, etc.) to create a more accurate production schedule.

Short-Term Scheduling

The process of organizing, managing, and allocating resources and tasks over a short period, aiming to enhance efficiency and meet specific objectives.