Estimate the Limit by Graphing the Function for an Appropriate

question 206

Essay

Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using L'Hopital's rule.
Show each step of your calculation.
- $\text { Give an example of two differentiable functions } f \text { and } g \text { with } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow\infty } g ( x ) = 0 \text { that satisfy } \lim _ { x \rightarrow \infty } \frac { f ( x ) } { g ( x ) } = \infty \text {. }$

---

Definitions:

Total Revenue

Total Revenue refers to the total amount of money generated by a business from the sale of its goods or services before any costs are deducted.

Price Elasticity

Measures the responsiveness of the quantity demanded of a good to a change in its price, indicating how changes in price affect consumer demand.

Demand Is Elastic

A condition where the quantity demanded of a good or service is significantly changed due to a change in its price. High elasticity indicates a sensitive reaction to price changes.

Total Revenue

The total amount of money received by a company for its goods or services before any expenses are subtracted.