Evaluate the Function $$f ( x ) = 7 \left( \frac { \sqrt { x } - \sqrt { 2 } } { x - 2 } \right)$$

question 82

Essay

Evaluate the function $$f ( x ) = 7 \left( \frac { \sqrt { x } - \sqrt { 2 } } { x - 2 } \right)$$
at the given numbers (correct to six decimal places). Use the results to guess the value of the limit $\lim _ { x \rightarrow 2 } f ( x )$ .
$\begin{array}{|c|c|}\hline x & f(x) \\\hline 1.6 & \\\hline 1.8 & \\\hline 1.9 & \\\hline 1.99 & \\\hline 1.999 & \\\hline 2.4 & \\\hline 2.2 & \\\hline 2.1 & \\\hline 2.01 & \\\hline 2.001 & \\\hline \text { Limit } & \\\hline\end{array}$

---

Definitions:

Seals

Aquatic marine mammals with a streamlined body, primarily living in cold seas and known for their thick fur or blubber.

Learned Associations

Connections made between two stimuli or between a behavior and a response, which are acquired through experience.

Red Pen

A writing tool with red ink commonly used for making corrections or annotations due to its standout color.

Black Pen

A writing instrument with black ink used for writing, drawing, or marking documents.