Use the Table of Values of F to Estimate the Limit

question 181

Multiple Choice

Use the table of values of f to estimate the limit.
- $\text { Let } f(x) =\frac{x^{2}-4 x-5}{x^{2}-7 x+10} \text {, find } \lim _{x \rightarrow 5} f(x) \text {. }$
$\begin{array}{c|l|l|l|l|l|l}\mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}$

• A)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\
• \hline \mathrm{f}(\mathrm{x}) & 2.1345 & 2.1033 & 2.1003 & 2.0997 & 2.0967 & 2.0677
• \end{array} \text { limit }=2.1\)
• B)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\
• \hline \mathrm{f}(\mathrm{x}) & 1.9345 & 1.9033 & 1.9003 & 1.8997 & 1.8967 & 1.8677
• \end{array} \text { limit = } 1.9\)
• C)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\
• \hline \mathrm{f}(\mathrm{x}) & 2.0345 & 2.0033 & 2.0003 & 1.9997 & 1.9967 & 1.9677
• \end{array} \text { limit = 2 }\)
• D)
• \(\begin{array}{c|cccccc}
• \mathrm{x} & 4.9 & 4.99 & 4.999 & 5.001 & 5.01 & 5.1 \\
• \hline \mathrm{f}(\mathrm{x}) & 0.5775 & 0.5720 & 0.5715 & 0.5714 & 0.5708 & 0.5652
• \end{array} \text { limit }=0.5714\)

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Definitions:

Puberty

The period of life in which a person transitions from childhood to adulthood, marked by physical changes that lead to sexual maturity.

Genital Stage

In psychoanalytic theory, the final stage of psychosexual development, focusing on mature sexual relationships.

Gender Identification

The process by which individuals recognize and categorize themselves or others as male, female, or another gender identity.

Phallic

Pertaining to the third stage of Freud's psychosexual development, focusing on the genital organs.