Use a CAS to Plot the Function near the Point $$\lim _ { x \rightarrow 8 } \frac { x ^ { 2 } - 9 } { \sqrt { x ^ { 2 } + 7 } - 4 }$$

question 291

Multiple Choice

Use a CAS to plot the function near the point x0 being approached. From your plot guess the value of the limit.
- $$\lim _ { x \rightarrow 8 } \frac { x ^ { 2 } - 9 } { \sqrt { x ^ { 2 } + 7 } - 4 }$$

• A) 3
• B) 4
• C) 8
• D) \(\frac { 1 } { 4 }\)

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Definitions:

Littoral Zone

The region of shallow water along the shore of a lake or pond. Compare with limnetic zone and profundal zone.

Rocky Intertidal Zone

The area between the high and low tide lines along rocky coastlines, characterized by extreme environmental variation and rich biodiversity.

Adaptations

Traits or behaviors that have evolved to improve an organism's odds of survival and reproduction in its specific environment.

Means of Attachment

Means of attachment refers to the mechanisms or structures used by organisms to attach or connect to other objects or organisms, such as roots, suction cups, or claws.