Complete the Table and Use the Result to Estimate $$\lim _ { x \rightarrow - 3 } \frac { x + 3 } { x ^ { 2 } - x - 12 }$$

question 113

Multiple Choice

Complete the table and use the result to estimate $$\lim _ { x \rightarrow - 3 } \frac { x + 3 } { x ^ { 2 } - x - 12 }$$
numerically.
$\begin{array}{|c|c|c|c|c|c|c|c|}\hline x & -3.1 & -3.01 & -3.001 & -3 & -2.999 & -2.99 & -2.9 \\\hline f(x) & & & & ? & & & \\\hline\end{array}$

• A) \(- \frac { 1 } { 7 }\)
• B) 7
• C) \(\infty\)
• D) \(- 7\)
• E) limit does not exist

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Definitions:

Frustration Of Purpose

A defense in contract law that may excuse parties from their obligations if an unforeseen event undermines the contract's original purpose.

Condition Precedent

A condition or event that must occur before a contract or a specific provision within a contract becomes effective or enforceable.

Illusory Promise

A statement or promise that is misleading or lacks the necessary intent to be legally enforceable.

Statutes Of Limitations

Laws that set the maximum time after an event within which legal proceedings may be initiated.