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

question 98

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:

Perceived Risk

The level of risk that an individual believes is associated with a specific action or decision, regardless of the actual risk.

Behaviour

The way in which one acts or conducts oneself, especially towards others.

Attitude

An inclination of the mind demonstrated through appraising a certain entity with a measure of approval or disapproval.

Theory of Planned Behaviour

A psychological theory that predicts an individual's intention to engage in a behavior at a specific time and place.