Use the Table of Values of F to Estimate the Limit

question 93

Multiple Choice

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

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

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Definitions:

Binomial Option Model

A mathematical model used to price options by breaking down the time to expiration into potentially infinite segments or steps.

Subintervals

Divisions within a larger interval, often used in mathematics to partition an interval into smaller segments.

Implied Volatility

The predicted future movement in a security's price as inferred from the pricing of its options in the market.

Exercise Prices

The price at which the holder of an option contract can buy (call) or sell (put) the underlying asset.