Complete the Table and Use the Result to Estimate $$\lim _ { x \rightarrow - 8 } \frac { x + 8 } { x ^ { 2 } + 4 x - 32 }$$

question 91

Multiple Choice

Complete the table and use the result to estimate
$$\lim _ { x \rightarrow - 8 } \frac { x + 8 } { x ^ { 2 } + 4 x - 32 }$$
numerically.
$\begin{array}{|c|c|c|c|c|c|c|c}\hline x & -8.1 & -8.01 & -8.001 & -8 & -7.999 & -7.99 & -7.9 \\\hline f(x) & & & & ? & & & \\\hline\end{array}$

• A) \(- \frac { 1 } { 12 }\)
• B) 12
• C) \(\infty\)
• D) \(- 12\)
• E) limit does not exist

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Definitions:

Learning

Learning is a process through which experience or practice results in a relatively permanent change in behavior or potential behavior.

Conditioned Taste Aversion

Development of a nausea or aversive response to a particular taste because that taste was followed by a nausea reaction, occurring after only one association.

Learned Helplessness

A condition in which an individual feels unable to change their situation after repeatedly facing uncontrollable events, leading to passive and resigned behavior.

Spontaneous Recovery

A conditioned response's revival, once thought to be extinguished, after a time without exposure to the associated stimulus.