Find $\lim _ { x \rightarrow 5 } [ g ( x ) - f ( x ) ]$

question 146

Multiple Choice

Find $\lim _ { x \rightarrow 5 } [ g ( x ) - f ( x ) ]$ for $f ( x ) = 5 x ^ { 3 }$ and $g ( x ) = \frac { \sqrt { x ^ { 2 } + 9 } } { 3 x ^ { 2 } }$ .

• A) \(\frac { \sqrt { 34 } } { 75 } - 625\)
• B) \(\frac { \sqrt { 34 } } { 75 } + 625\)
• C) \(\frac { \sqrt { 34 } } { 75 }\)
• D)limit does not exist
• E) \(\frac { 1 } { 75 } - 625\)

Recognize the importance of balancing short-term incentives with long-term organizational goals.

Understand the concept and criticisms of merit pay plans.

Recognize the dependency of merit pay plans on effective performance appraisal systems.

Comprehend different types of incentive pay plans, including differential piece rate and standard hour plans.

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Definitions:

100,000 Hz

A frequency unit representing 100,000 cycles per second in the electromagnetic spectrum, typically associated with high-frequency sounds beyond human hearing.

Opponent-Process Theory

A psychological and neurological model explaining how the perception of one stimulus (e.g., color) can affect the perception of another, leading to contrasting effects.

Color Pairings

The practice of combining colors based on their harmony and contrast to achieve a particular aesthetic or functional effect, often used in design and art.

Amplitude

The height or intensity of a wave, often used in contexts such as sound waves, which correlates with volume or loudness.