Use a CAS to Plot the Function near the Point $$\lim _ { x \rightarrow 1 } \frac { x ^ { 2 } - 1 } { \sqrt { x ^ { 2 } + 3 } - 2 }$$

question 272

Multiple Choice

Use a CAS to plot the function near the point x0 being approached. From your plot guess the value of the limit.
- $$\lim _ { x \rightarrow 1 } \frac { x ^ { 2 } - 1 } { \sqrt { x ^ { 2 } + 3 } - 2 }$$

• A) 2
• B) 4
• C) \(\frac { 1 } { 4 }\)
• D) 1

---

Definitions:

Fixed

Typically refers to costs or assets that remain constant and do not vary with the level of activity or production.

Linear Relationship

A direct relationship between two variables that can be represented graphically as a straight line, indicating consistent proportionality.

Relevant Range

The range of activity within which assumptions about variable and fixed cost behavior are valid.

Activity Level

The volume of production or the degree of activity in a business operation, which can affect variable costs.