Use the Table of Values of F to Estimate the Limit

question 89

Multiple Choice

Use the table of values of f to estimate the limit.
- $\text { Let } f(x) =x^{2}+8 x-2, \text { find } \lim _{x \rightarrow 2} f(x)$
$\begin{array}{c|c|c|c|c|c|c}\mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\\hline \mathrm{f}(\mathrm{x}) & & & & & &\end{array}$

• A)
• \(\begin{array}{c|ccrrrr}
• \mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\
• \hline \mathrm{f}(\mathrm{x}) & 16.810 & 17.880 & 17.988 & 18.012 & 18.120 & 19.210
• \end{array} ; \text { limit }=18.0\)
• B)
• \(\begin{array}{c|llllll}
• \mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\
• \hline \mathrm{f}(\mathrm{x}) & 5.043 & 5.364 & 5.396 & 5.404 & 5.436 & 5.763
• \end{array} \text {; limit }=5.40\)
• C)
• \(\begin{array}{c|llllll}
• \mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\
• \hline f(x) & 5.043 & 5.364 & 5.396 & 5.404 & 5.436 & 5.763
• \end{array} \text { limit = }\)
• D)
• \(\begin{array}{c|ccrrrr}
• \mathrm{x} & 1.9 & 1.99 & 1.999 & 2.001 & 2.01 & 2.1 \\
• \hline \mathrm{f}(\mathrm{x}) & 16.692 & 17.592 & 17.689 & 17.710 & 17.808 & 18.789
• \end{array} ; \text { limit }=17.70\)

Apply the concept of marginal costs and marginal revenue to the decision-making process of profit-maximizing firms.

Explain the implications of monopolistic supply curves and their difference from competitive supply curves.

Evaluate the effects of cost changes on monopolistic pricing and output decisions.

Identify the profit-maximizing output level and price for monopolists from given data.

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