Complete the Table and Use the Result to Estimate the Limit

question 22

Multiple Choice

Complete the table and use the result to estimate the limit. $\lim _ { x \rightarrow 3 } \frac { x - 3 } { x ^ { 2 } - 16 x + 39 }$
$\begin{array}{|c|c|c|c|c|c|c|}\hline x & 2.9 & 2.99 & 2.999 & 3.001 & 3.01 & 3.1 \\\hline f(x) & & & & & & \\\hline\end{array}$

• A) \(0.525000\)
• B) \(0.275000\)
• C) \(- 0.100000\)
• D) \(0.400000\)
• E) \(- 0.475000\)

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Definitions:

Metering Valve

A type of combination brake system valve that introduces a slight delay in the application of the front disc brakes in relation to the rear drum brakes. This allows more balanced braking and better vehicle control. See alsoproportioning valves.

Junction

A point where two or more roads or electrical circuits meet or cross.

Pressure Differential Valve

A valve used in hydraulic systems to maintain a constant pressure difference between two points, often used in braking systems.

Hygroscopic

A characteristic of a substance to attract and hold water molecules from the surrounding environment.