Complete the Table and Use the Result to Estimate the Limit

question 44

Multiple Choice

Complete the table and use the result to estimate the limit. $\lim _ { x \rightarrow - 10 } \frac { \sqrt { - 6 x - 54 } - \sqrt { 6 } } { x + 10 }$
$\begin{array}{|c|c|c|c|c|c|c|}\hline x & -10.1 & -10.01 & -10.001 & -9.999 & -9.99 & -9.9 \\\hline f(x) & & & & & & \\\hline\end{array}$

• A) \(0.974745\)
• B) \(- 1.099745\)
• C) \(- 1.224745\)
• D) \(1.058078\)
• E) \(1.224745\)

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Definitions:

Social Psychology

The examination of how the real, perceived, or suggested presence of others impacts individuals' cognitive, emotional, and action responses.

Interventions

Actions taken to improve a situation or problem, often within a therapeutic, educational, or social context.

Applied Social Psychologist

A professional who uses social psychological theories and methods to address real-world problems and improve the quality of human life.

Positive Reinforcement

A process in which a behavior is followed by a reward, increasing the likelihood that the behavior will be repeated.