Complete the Table and Use the Result to Estimate the Limit

question 31

Multiple Choice

Complete the table and use the result to estimate the limit. $\lim _ { x \rightarrow 7 } \frac { \frac { 1 } { x - 3 } - \frac { 1 } { 4 } } { x - 7 }$
$\begin{array}{|c|c|c|c|c|c|c|}\hline x & 6.9 & 6.99 & 6.999 & 7.001 & 7.01 & 7.1 \\\hline f(x) & & & & & & \\\hline\end{array}$

• A) \(- 0.062500\)
• B) \(0.067500\)
• C) \(- 0.192500\)
• D) \(0.047500\)
• E) \(- 0.172500\)

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Definitions:

Primary Appraisal

An individual's initial evaluation and interpretation of a situation to determine its significance for their well-being.

Secondary Appraisal

The phase in the stress response where an individual evaluates their resources and ability to cope with an impending threat or challenge.

Stages of Change Model

A theoretical model describing the phases individuals go through in altering behavior, including precontemplation, contemplation, preparation, action, and maintenance.

Theoretical Model

A systematic representation of an idea or concept that explains phenomena and predicts future outcomes.