Use a CAS to Plot the Function near the Point $$\lim _ { x \rightarrow 0 } \frac { \sqrt { 10 + 10 x } - \sqrt { 10 } } { x }$$

question 61

Multiple Choice

Use a CAS to plot the function near the point x0 being approached. From your plot guess the value of the limit.
- $$\lim _ { x \rightarrow 0 } \frac { \sqrt { 10 + 10 x } - \sqrt { 10 } } { x }$$

• A) \(\frac { \sqrt { 10 } } { 2 }\)
• B) 0
• C) \(\sqrt { 10 }\)
• D) \(\frac { 1 } { 2 }\)

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Definitions:

Average Total Cost

The total cost divided by the number of units produced, calculating the cost on a per-unit basis.

Profit-maximizing

Profit-maximizing refers to strategies or behaviors undertaken by firms aiming to achieve the highest possible profit from their operations.

Economic Profit

The differential tally between gross receipts and total obligations, including costs both acknowledged and undeclared.

Average Variable Cost

The total variable cost per unit of output, calculated by dividing total variable costs by the quantity of output.