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Complete the Table and Use the Result to Estimate the Limit

question 22

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Complete the table and use the result to estimate the limit. limx3x3x216x+39\lim _ { x \rightarrow 3 } \frac { x - 3 } { x ^ { 2 } - 16 x + 39 }
x2.92.992.9993.0013.013.1f(x) \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}

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Definitions:

Positional Changes

Adjustments in body position or posture that may relieve symptoms or aid in treatment of medical conditions.

Pulse Pressure

The difference between the systolic and diastolic blood pressure readings, reflecting the force that the heart generates each time it contracts.

Respiratory Rate

The number of breaths a person takes per minute, an important vital sign indicating respiratory functioning.

Vital Sign Measurements

Clinical assessments of basic body functions, typically including temperature, heart rate, breathing rate, and blood pressure.

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