Use the Table of Values of F to Estimate the Limit

question 67

Multiple Choice

Use the table of values of f to estimate the limit.
- $\text { Let } f(x) =\frac{x+5}{x^{2}+7 x+10} \text {, find } \lim _{x \rightarrow 5} f(x)$

$\begin{array}{c|l|l|l|l|l|l}\mathrm{x} & -5.1 & -5.01 & -5.001 & -4.999 & -4.99 & -4.9 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}$

• A)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -5.1 & -5.01 & -5.001 & -4.999 & -4.99 & -4.9 \\
• \hline \mathrm{f}(\mathrm{x}) & -0.4226 & -0.4322 & -0.4332 & -0.4334 & -0.4344 & -0.4448
• \end{array} \text {; limit }=-0.4333\)
• B)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -5.1 & -5.01 & -5.001 & -4.999 & -4.99 & -4.9 \\
• \hline \mathrm{f}(\mathrm{x}) & -0.2226 & -0.2322 & -0.2332 & -0.2334 & -0.2344 & -0.2448
• \end{array} \text {; limit }=-0.2333\)
• C)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -5.1 & -5.01 & -5.001 & -4.999 & -4.99 & -4.9 \\
• \hline \mathrm{f}(\mathrm{x}) & 0.3226 & 0.3322 & 0.3332 & 0.3334 & 0.3344 & 0.3448
• \end{array} \text {; limit }=0.3333\)
• D)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & -5.1 & -5.01 & -5.001 & -4.999 & -4.99 & -4.9 \\
• \hline \mathrm{f}(\mathrm{x}) & -0.3226 & -0.3322 & -0.3332 & -0.3334 & -0.3344 & -0.3448
• \end{array} \text { limit }=-0.3333\)

Recognize the importance of including routine screenings for intimate partner violence and mental health issues in pregnancy assessments.

Demonstrate knowledge of how to communicate sensitive information regarding pregnancy results to clients.

Understand the necessity of discussing preconception counseling, contraception options, and the accuracy of pregnancy tests with clients.

Identify the initial steps in pregnancy options counseling and the importance of addressing a client's feelings and support systems.

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Definitions:

Perfect Information

Perfect Information is a situation in decision-making where all participants have access to all relevant facts and data, eliminating uncertainty.

Decision Table

A tabular means of analyzing decision alternatives and states of nature.

Payoff Table

A decision-making tool that outlines the outcomes of different decisions under various states of nature, helping in analyzing potential payoffs.

Maximin Criterion

A decision rule used in statistics and game theory that focuses on maximizing the minimum payoff or outcome attainable, often applied under conditions of uncertainty.